Archive+Puzzles+41+to+60

Question 60 - Alex Tommy was unhappy with the life at home, so he decided to run away. He had ran just 8 km away from his home at an average speed of 2 km/h, when his parents returned home to find that Tommy had escaped, so they chased after him. His mother ran at 2.5 km/h, and his father ran at 1 m/s, increasing by 1 cm/s for every minute he ran. But that's not all! Tommy, with his super-sharp ears heard one of his parents running after him 3 km away. He then increased his speed to 3 km/h, but 15 minutes later, he was tired, and soon slowed to 7 cm/s. 15 minutes later, he collapsed due to sheer exhaustion. Assuming Tommy started running away at 2 p.m., when did his parents catch up to him? You only need to state when the FIRST parent caught up to him. Solution 60 Clue 1: Tommy might have started off 8 km away, but when he heard his parents coming after him 3 km away, they didnt travel just 5 km. Clue 2: Tommy and his parents were marathon runners, thus they could run for 5+ hours straight without stopping for a break. Clue 3: Tommy collapsed 30 minutes after speeding up. He ran 750 m for the 1st 15 min, and ... you will have to work out the rest. Clue 4: No more clues. Note: I apologise for the change from 4 m/s to 7 cm/s, but i did some calculations and found out that 4m/s is approximately 14 km/h...

Question 59 - Alton Car 1 started from Point A towards point B. At the same time Car 2 started from point B towards A. They crossed each other at point C. After which, Car 1 reached point B in another 9 hrs, and Car 2 reached point A in another 4 hrs. If both the cars maintained a constant speed throughout the journey, and the speed of Car 1 was 36 miles/hr(mph), then what was the speed of Car 2?

Solution 59 36x9=324 Point C to B=324 miles. Point A to B=??? miles. Assuming distance is 36 miles, Car 2's speed is 9 miles per hour. Car 1 takes 1 hour to pass... If that is the case, 324/9=36 hours(LOL), that means Car 2 takes 40 hours to get to A. If the distance is 72 miles, Car 2's speed would be 18 miles per hour. 324/18=18 hours. So Car 2 takes 22 hours to get to A. If the distance is 144 miles, Car 2's speed would be 36 mph. 324/36=9 So Car 2 takes 13 hours(???) to get to A... Oh great, my brain's twisted...~Alex Alex, the question said to find the speed of Car 2... ~ Alton 54mph~ Garett Correct! ~ Alton

Question 58 - Alton You might have seen this question before...

Suppose you're in a hallway lined with 100 closed lockers. You begin by opening every locker. Then you close every second locker. Then you go to every third locker and open it (if it's closed) or close it (if it's open). Let's call this action toggling a locker. Continue toggling every nth locker on pass number n. After 100 passes, when you toggle only locker #100, how many lockers are open?

Solution 58 Lets see: Um... 50?~Alex Wrong. ~ Alton let's see...

Only square numbers can be opened, so there are 10 of them~Garett Correct! ~ Alton

Question 57 - Alex Nearing 60...

Fiendish is on the loose! Apparently he owed Blade and co. some money, and now they are chasing him through town. Behind a bush was Lieutinent Ptchowsky(i always spell lieutinent wrongly LOL), Dolly snowlips, Bluetooth and Luigi. Apparently Luigi was holding a bet and he betted that Fiendish would escape town. Ptchowsky said Charlie would probably get him. Blue betted that Jimmy would catch him. Dolly was in a dilemma on who to bet on. Luigi's notes stated: Assuming all the above was true, what should dolly go for? (a) Blade (b) Jimmy (c) Porky (d) Charlie (e) Weasel (f) HalfSmile (g) Numbers (h) Fiendish escape town
 * The Bocellis save for Porky started 75 m from Fiendish
 * Porky started 45 m from Fiendish
 * The road to escape town was 18 km long and no one took shortcuts
 * The Gabriannis save for Weasel started 85 m from Fiendish
 * Weasel started 80 km from fiendish
 * The Gabriannis save for Charlie and Weasel ran at a uniform speed of 2 km/h
 * Charlie's speed is 3.5 km/h
 * Weasel was having sore legs and thus ran at 2.5 km/h
 * Blade ran at 3 km/h
 * Jimmy ran at 4.3 km/h
 * Porky ran at 1.9 km/h
 * Fiendish ran at 1.7 km/h(Funny for him to be slower than Porky)
 * All the above speeds were base speeds. Porky ran 0.1 km/h faster every minute. Jim and Blade ran 0.2 km/h faster every minute. The Gabriannis ran 0.25 km/h faster every minute. Fiendish ran 0.15 km/h faster every minute.

Solution 57

Question 56 - Alex The omnitrix, when activated, turns user into an alien. ^Thats not the point of this question. There are 10 aliens in the omnitrix. Ben activates the omnitrix. He changes into 4-arms 50 times more often than Stink fly. He changes into Wildmutt 40 times more often than Stinkfly, Cannonvolt 35 times more often than stinkfly, Ripjaws 25 times more often, Heatblast 20 times more often, XLR8 10 times more often, Diamondhead 45 times more often, and ben changes into Stinkfly twice as often as Grey Matter. Assuming Ben transforms into Cannonvolt 420 times, how many times did he transform in total? Solution 56 A lot?~Jun Yuan(Won `t the omnitrix malfunction after being used for such a long time?) Correct but the vague ans. is unaccepted(gives 1/2 mark)~Alex More than 2100 times, not as vague as Jun Yuan~Yi Rui Yi rui gets 3/4 marks!~Alex 3690? ~Daniel No.(Awards no marks)~Alex 2706 ~ Dominic No. But if the correct answer's location on the number line is the sun, i would have melted(A.K.A. Dominic's answer is VERY CLOSE)~Alex OK. The answer is 2718 ~ Dominic End. I bet you didnt add stinkfly.~Alex

Question 55 - Alex Tommy,Timmy,Tammy and Terry were running to their house. Tommy came from 10 km away, running at a speed of 165 metres ph. Timmy came from 17 km away, running at the speed of 250 mph. Tammy came from 175 metres away running at a speed of 18.5 mph. Terry came from 734 metres away running at a speed of 100 mph(Obviously they were all fail runners). If Tommy,Timmy and Terry started running at 9 am sharp, while Tammy ran 1.5 minutes later, what is the total amount of time needed for all four of them to come home? Hint 1: ph means per hour. mph means metre per hour. Hint 2: Total amount of time means:Time needed for Tommy to get home + Time needed for Timmy to come home... and so on. and yes im lazy to type evrything out but dont flame me for this. Solution 55

Question 54 - Alex Oh yeah, I love lying to you!

There was this guy who was dying. He had a property worth 10 decillion dollars. His will read:I shall give 1/2 my assets to my wife, 1/2 the remainder to my first son, 1/2 the remainder to my 2nd son, 1/2 the remainder to my 3rd son, 1/2 the remainder to my 4th son, 1/2 the remainder to my 1st daughter-in-law(his 1st son's wife), 1/2 the remainder to my 2nd daughter-in-law, 1/2 the remainder to my 3rd daughter-in-law, 1/2 the remainder to my 4th daughter-in-law, 1/2 the remainder to the son of my 1st son, 1/2 the remainder to the son of my 2nd son,1/2 the remainder to the son of my 3rd son, 1/2 the remainder to the daughter of my 1st son, 1/2 the remainder to the daughter of my 2nd son, 1/2 the remainder to the daughter of my 3rd son, and the remainder shall be shared equally between the twin children of my last son. And please give the money in the order specified. Signed, Mr Very Rich. Date: XX/XX/XXXX Question: How much will each person get? Solution 54 Wife: 5000000000000000000000000000000000 First Son: 2500000000000000000000000000000000 Second Son: 1250000000000000000000000000000000 Third Son: 625000000000000000000000000000000 Fourth Son: 312500000000000000000000000000000 First Daughter-in-law: 158250000000000000000000000000000 Second Daughter-in-law: 76125000000000000000000000000000 Third Daughter-in-law: 38062500000000000000000000000000 Fourth Daughter-in-law: 19031250000000000000000000000000 Son Of His First Son: 9515625000000000000000000000000 Son Of His Second Son: 4757812500000000000000000000000 Son Of His Third Son: 2378136250000000000000000000000 Daughter Of His First Son: 1189068125000000000000000000000 Daughter Of His Second Son: 594534062500000000000000000000 Daughter Of His Third Son: 297267031250000000000000000000 One Twin Of His Last Son: 148633515625000000000000000000 One Twin Of His Last Son: 148622515625000000000000000000 - [|FWcheng]

Question 53 - Alex This will be my last pre-exam question The Captain Underpants crew are having a race! The contestors are: Mr krupp, harold, george, prof. poopypantz, Crackers and Sulu. The race course is 100 km long. These are the speeds of the contestants: Krupp at 4 km/h, George at 3.5 m/minute, Harold at 2.2 km/h, PP at 4 km/h, Crackers at 23 km/h and Sulu at 25 km/h. It looks as though Sulu will win, but then... Once George reached the 1/2way mark, he stopped for 2 seconds to snap his fingers. The snap stopped all the others except Harold for 5 minutes. Mr Krupp instantly took 5 seconds to turn into the AMAZING CAPTAIN UNDERPANTS and he ran off instantly at quadruple speed. George moved 5 seconds later. Then... Once the leader reached the 3/4 mark, it began raining, staining PP's machine and causing it to go at quarter speed, and CU reverted to Mr Krupp, who stood for 4 seconds before going at the usual speed. Sulu slipped and went 10 kilometres backward. Crackers went at 1/2 speed. Once the leader reached the 7/8 mark, The Purple Potty appeared and out popped Minature Evil George, Minature Evil Harold and Captain Blunderpants. Everyone except Crackers slipped and went back 5 kilometres while Crackers was shot and went at 1/10 speed. Once the leader reached the 9/10 mark, the evil Lunch Ladies from Outer Space summoned one whole lot of zombie nerds. They held everyone back for 6 minutes before Crackers and Sulu zoomed out and everyone else at 5/6 of their speed before the incident after 3 seconds. Who won the race? How long did he/she/it take to complete the race?(THAT includes ALL disruptions) BTW, he for Sulu, C.U., George & harold. It for PP due to questionable (CENSORED)uality. She for crackers(female pterodactyl) <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 53 You sure about George's speed? 0.21km/h????~Garett Yeah, hes so fatttttttttttttttttttttttttttttttttttttttt that he runs slowlyyyyyyyyyyyyyyyyyyyyyyyyy to conserve energy. But if that's the case, he needs at least 135hrs to reach the 50 km mark, which would mean that Sulu would have already won in about 4 and a half hrs~Garett Eh, I just want to see how u did it?~Alex

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 52 - Alex Louise, Denise and Connie were arguing over something. Their best friend Maria came and asked what happened. Connie said:"We were arguing whether what Lou said was true or false." When asked what Louise said, Connie replied:"She said today was Monday." When asked what happened, Denise replied:"Well, the three of us forgot what day it was, so Louise said today was Monday. I said that its either Tuesday, Thursday or Saturday. Connie said that I was lying. She said that since today was 4th January 1978, it has to be a Wednesday." Question: Is Louise lying or not? January 4 1978 is actually Monday/Tuesday/Wednesday/Thursday/Friday/Sunday/Saturday.~Jun Yuan

is actually Wednesday~Garett Anyway, Louise is not lying <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 52

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 51 - Alex Welcome to the inaugral Bocelli Grand Prix, where there are lots of MM teams competing for the Murderous Maths Cup. In the MM Team we have Poskitt, Reeve, and their unnamed editor as the drivers. In the Gabrianni Team is Weasel, 1/2Smile, Charlie as drivers and Numbers as manager. The Anti-Gangster Team consists of Lieutenent Ptchowsky, Dolly and Bluetooth.Finally, we have Team Fiendish which consists of Prof.Fiendish, Truffles and PF's cat(Read PFBook of BrainBenders). TEAM HISTORY-The MM Team has always been failure. They enter the BGP, which happens to be the last race of the season, with 57 points. Team Fiendish has always been corrupt and using cheats they now lead the table at 61 points. Team Gabrianni enters at 59 points, while the Anti-Gangsters are 2nd with 60 points. Question 1- What ARE the conditions for the MMs to win the CUP if Reeve and Bluetooth retire after a crash with Fiendish and Charlie? Oh, and becuz of the crash Charlie finished last.And cheating Fiendish returned to the race only to stall, and he bribed the stewards to let him continue and not disqualify him. POINTS SCORING-1st 7 points 2nd 6.5 points 3rd 4.5 points 4th 4 points 5th 3 points 6th 2 points 7th 1 point 8th 1/2 points <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 51

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 50 - Alex We are now back to the Premiership, where Arsenal won(see Q.44). However, thats not our main concern(and its not that this is Q.50 or my 7th consecutive question). Instead, we shall look ALL the way at the back. Back, yes, AT the back. 8 teams are in danger of relegation: Derby, Sheffield, Man C, Birmingham, Stoke, Sunderland, Tottenham and Charlton. 2 of them will be relegated(Heck, last place was Newcastle: Serves their manager right!) These are the eventual results. Note that the rules were changed so now every match is a golden goal match, first team to score in 45 min wins. And this is the 1st round, mind you, the top 4 get to stay and the bottom 4 battle it out for survival. (a) What are the results of each match? In the second round, rules return to normal. Charlton drew Sheffield 2-2, won the Spurs 9-2, and lost Derby 0-3 Derby won Sheffield 1-0 and drew Spurs 6-6 Sheffield won Spurs 3-2 (b) Which 2 are relegated? <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 50 a)Sheffield lost to everyone, Tottenham lost to everyone except Sheffield, Charlton lost to everyone except Tottenham and Sheffield, Derby lost to everyone except Charlton, Tottenham and sheffield, Sunderland lost to everyone except Derby, Charlton, Tottenham and sheffield. Birmingham drew with Stoke city, and both won every one except Manchester City, which was the champion amongst the eight. Read carefully, mr tok. Sunderland didnt draw. Sori, paiseh
 * || Wins || Draw || Lose || Points ||
 * Manchester City || 7 || 0 || 0 || 21 ||
 * Birmingham City || 5 || 1 || 1 || 16 ||
 * Stoke City || 5 || 1 || 1 || 16 ||
 * Sunderland || 4 || 0 || 3 || 13 ||
 * Derby || 3 || 0 || 4 || 9 ||
 * Charlton || 2 || 0 || 5 || 6 ||
 * Tottenham || 1 || 0 || 6 || 3 ||
 * Sheffield United || 0 || 0 || 7 || 0 ||

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 49 - Alex Manuel, Penny, Johnathan, Simon, Kew Eng and Sally were in a race. This was what they said after the race: Manuel: Penny finished behind Johnathan, Simon finished behind Kew Eng who finished 2 spaces in front of Sally. Penny: Kew Eng lost to Simon who lost to Manuel who won Sally and Johnathan. Simon: Penny finished behind Sally. I forgot the rest of the order. John: Kew Eng beat Simon and Sally. Manuel beat Penny. KE: I forgot! Sally: I got beaten by Kew Eng, that no-gooder! I'm gonna take my revenge on him!(Walks to him, bashes him, and returns) Ok, then Simon was beaten by Mr. No-Gooder himself. Thank goodness Manuel beat him and got first! (a)What was the order when they finished? (b)When asked the number of the lane he/she started in, its another mixed response: Manuel:I finished the race, and I had the same lane number(A.K.A. if he finished 5th he is on Lane 5, finished 3rd Lane 3) Penny: My lane number? The position I finished in minus 3! Simon: Who, me? Forgotten! John: The lane I was using + 1 is my position. KE: Lane 2 Sally: Me? Only one lane seperated me and Johnathan! With this, can you determine who started in which lane?

<span style="font-size: 16pt; color: rgb(0, 34, 255);">Solution 49 a)Manuel 1st, Kew Eng 2nd, Simon 3rd, Sally 4th, Johnathan 5th, Penny 6th. BTW, you sure all the statements are true? eg: Penny says that KE lost to Simon and Manuel say KE wins Simon~Garett

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 48 - Alex There are 4 banks in the town of Fastbuck: one owned by the council, one owned by the town banker elected by the council(Lazy Larry), one owned by his secretary(Selfish Sally), and one owned by an independent banker(Honest Howard). Now, the interest rate for all 4 banks are different. The one owned by the council had a simple interest rate of 10% a month. The one owned by Larry had a compound interest rate of 7% a month. The one owned by Sally had a simple interest rate of 45% of 1/2 year(Meaning you put $100 in there, every 6 months you earn $45). The one owned by Howard had a compound interest rate of 0.2% per minute. And yes, the coms are so high-tech that they update every minute. Heres the question:Which bank should you invest in to earn the highest interest in 13 years 6 months? <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 48 Firstly, you kick out Sally's as the town council's bank earn 15% more in 1/2 year. Banks (taking that you put in $100 as the deposit): Town council $1720 Larry's: $5766678.6249528905140301196859905 Howard: $5.0566975444806847721355478902756e+ 6159 (meaning that after the 5, there are 6159 digits and NOT decimal places) ~Garett

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 47 - Alex The famous magician, Magic Sain, is in town for a magic show. He and his chauffeur will be driving a truck past a bridge rated for 1200 kilograms. The truck weighs 1100 kilograms, Sain and his chauffeur weigh 49.5 kilos each. Sain will be carrying 2 balls weighing 520 grams each. This calculates out to be 1100+99+1.04=1200.04 kilos, exceeding the limit. The bridge is 30 kilometres long and everytime 1 kilometre is passed, 40 grams of fuel will be consumed. To compensate, a 40 gram weight will be thrown onto the bridge everytime the truck travels a kilometre. And below the bridge is a pit filled with lots of lions and tigers(thank goodness they cant climb!), so if the bridge breaks Sain and the chauffeur will be killed. How can Sain survive the bridge?He probably couldn't survive the first kilometre... but can he? <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 47 Well... I don't think he started at the beginning of the bridge~ Garett Its not like they had a crane or anything~Alex He drove PAST the bridge,not on the bridge,so it won't affect him~Jun Yuan Okay, i think the answer is that they could pour out some oil so they do not exceed the limit.~Garett He is a magician and a famous one so use MAGIC!~Jun Yuan To KJY's 1st ans: He drove on the bridge. To Garett's ans: Nothing was consumed or thrown except for the 40 grams of fuel every km To KJY's 2nd ans: LAME AND LOL! If he can use magic those lions and tigers wont be there, they would have been somewhere else. The bridge's length was less than 1 kilometre. ~ Alton You must learn to read the question more carefully:"To compensate, a 40 gram weight will be thrown onto the bridge everytime the truck travels a //__kilometre__//." In other words the bridge is more than 1 km long. Whats the 40 gram weights for then?~Alex Travel around 1km and 40 grams of fuel will consumed. So 91100+99+1.04) - 0.040 = 1200K=kg ~ Dominic Lim What are u talking about~Alex BTW, who throws the weights???~Garett For the first metre, the truck would consume 0.04g will be used up (40 divided by 1000) so for first metre, the truck would weigh 1200 kilos which would not exceede the weight limit. And as it goes on for the whole bridge, it would consume 1200g of fuel which would make the weight of the truck lighter and lighter (the 40g weight thrown off do not matter because they are still on the bridge)~Daniel ^^Garett's ans: Someone not involved in the question. ^Danny's ans: U got urself confused. Its 0.04 kilos, not 0.04 grams. So after 1 km it will have LOST 0.04 kilos. And 0.04 grams dont matter: Its 40 grams mind ya, so 1200.04-0.00004=1200.03996 which still exceeds the limit by 39 grams and 96 centigrams(FYI, 1 gram=100 centigram, same as metric system,(A.K.A. the system used to measure height))~Alex Ask a German sniper to take out all the tigers and lions then build support under the bridge so it can take more weight.~Jun Yuan Only people involved: Magic Sain, MS's chauffeur, lions, tigers, and Mr. Throwing-forty-grams-weight who is an ordinary citizen. Sorry, should be: For the first metre, the truck would consume 0.04 kilos will be used up (40 divided by 1000) so for first metre, the truck would weigh 1200 kilos which would not exceede the weight limit. And as it goes on for the whole bridge, it would consume 1200g of fuel which would make the weight of the truck lighter and lighter (the 40g weight thrown off do not matter because they are still on the bridge)~Daniel Daniel, read the question carefully. Every KILOMETER the truck consumes 40g of fuel, not meter.~Garett. Could they have just put a ball at the beginning, go to the end and put the other one there, go back to retrieve the ball, and finally put both balls back on the truck?~Garett To the comment about people involved, lions and tigers are not people. - [|FWcheng] To Daniel: You made the following mistake: Assuming only one weight is thrown onto the bridge. in case u forgot, it is THIRTY WEIGHTS, mind you. To Garett: Agreed To Garett(2):Nope. To Wei Cheng: I dont give a s---. Wait till the tigers die of starvation~Garett Be an illegal poacher.~Jun Yuan Launch themselves from a giant cannonball.~Jun Yuan This question would possibly break the record of wrong answers! Clue: I got the question from MindTrap and modified it.~Alex

Start a kilometer away~Garett He's forced to travel the whole bridge. :)~Alex 1)Drive the lorry at 180km/h through. even if the bridge breaks, it would not be fast enough to make the lorry drop down as most bridges now are made of rocks and they need time to break 2)When a bridge is rated for a weight, it means that it is the amount of weight any vehicle can carry max. so if the bridge was just empty, the lorry would not fall. ~Garett

1)The lorry can't go any further than 30km/h 2)? I cant understand a word you are saying. Rephrase?

Juggle the balls when the driver is driving on the bridge. ~ Alton Great. I can now end this thing. *Is flipping records book and checking how many wrong answers for 1 question were there*~Alex LOL. But wwon't the air pressure act upon the truck???Consider this: [|http://mythbustersresults.com/episode77~Garett] Its " *Am flipping record books and checking how many wrong answers for 1 question are there*~Jun Yuan

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 46 - Alex Vanessa was on a holiday to Enigma Island. It was an island where members of one gender always lie on Monday, Wednesday, and Friday, speaking the truth on the other days. Members of the other gender lie on Tuesday, Thursday and Saturday, telling the truth on the other days. One day, Vanessa asked a male inhabitant:"Were you lying or were you speaking the truth yesterday?" The reply:"I lied yesterday." Not convinced of the answer, she asked another male inhabitant and a female inhabitant who were passing by:"Did he speak the truth or did he lie?" The male inhabitant said:"He spoke the truth." The female said:"Nope, he lied." Vanessa asked a third male inhabitant:"What day is it?" Reply: I forgot. I remember that today was the day where we spoke the truth. And I'm sure today isn't Sunday,or Tuesday, or Monday." What day was it and which gender lied on that day? Clue: When Male Inhabitant C said 'we' he meant the gender and not the group. Clue: There are 2 possible answers. <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 46 It was Monday. The male always lie on Monday, Wednesday, and Friday while the female always lie on Tuesday, Thursday and Saturday~Garett Lets check: Since it was monday, the males lie. so male 1 said he lied yesterday, which is correct, as he is lying and they tell the truth on Sunday. Female says he lied, male 2 says he spoke the truth. today was the day they lied, so it was either sunday, tuesday or monday. u got it correct, and i wasnt expecting that, lol. Since i said that, might as well say what i have in mind: Thursday and Saturday. Nice job, well done.~Alex

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 45 - Alex This is stale already... pls dont hate me for this.

you have 47 cubes of sugar. how do you put them in 30 cups of tea and still get an odd number of sugar cubes in each one? <span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 45 Put one in cups 1-29 each, and cram the remaining 18 into the last one. True, 18 is an even number but it is odd that one small cup of tea can hold 18 cubes of sugar w/o overflowing!

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 44 - Alex

Manchester United, Chelsea, Arsenal and Everton are battling for the Premiership cup since all drew at 64 points(liverpool is in 5th place and its not involved anyway). This is the result of the battles.

Now that Arsenal won the premiership, only 1 question remain: what are the outcomes of each match: Arsenal vs Chelsea, Chelsea vs Everton, Everton vs Man U, Chelsea vs Man U, Man U vs Arsenal, Everton vs Arsenal?(Note: We dont care about goals ) What is the outcome of each match?
 * || Win || Lose || Draw || Points ||
 * Arsenal || 2 || 1 || 0 || 6 ||
 * Chelsea || 1 || 1 || 1 || 4 ||
 * Everton || 1 || 1 || 1 || 4 ||
 * Manchester United || 1 || 2 || 0 || 3 ||

<span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 44 Arsenal draw with Chelsea,Everton win Chelsea,Man U win Everton,Man U win Chelsea,Man U win Arsenal,Everton win Arsenal~Jun Yuan Tch... this guy will stop at nothing to see Man U win.. wrong! Read carefully: Man U lost twice and won once. In this answer Man U won 3 times. And Arsenal never drew. Everton drew once. Where are these 2 facts in the answer? REJECT!~Alex Hint: Since there is 1 draw each for Chelsea and Everton, and none for the others, Chelsea vs Everton would be a draw. Man Utd won Chelsea 3-0.Noob Chelsea lmfao!~Jun Yuan Chelsea draw Everton, Arsenal win Chelsea, Man U win Arsenal, Chelsea win Man U, Everton win Man U, Arsenal win Everton... ~ LBQ LBQ wins but he does not get a prize due to his constant Yakko World singing~Alex

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 43 - Alton

Since no one has posted any questions for a while, I shall post one! XD

A teacher wanted to go into the music room, but he had forgotten the code. However, he did remember five clues.

These are what those clues were:

The fifth number plus the third number equals fourteen.

The fourth number is one more than the second number.

The first number is one less than twice the second number.

The second number plus the third number equals ten.

The sum of all five numbers is 30.

What were the five numbers and in what order?

<span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 43 1st number is 7, 2nd number is 4, 3rd number is 6, 4th number is 5, 5th number is 8. So the code is 74658. ~ Gerry Correct! ~ Alton

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 42- Alex

Two mice, Gerald and Richard were trapped in a hole. The hole was very deep: from the bottom to the top is 1 km. Gerald climbs 73 metres a day, but slides down 45 metres at the end of the day. His climbing speed increases by 3 metres every day. Richard climbs 69 metres a day, and slides down 10 metres at the end of the day. His climbing speed increases by 2.5 metres every day. How many days will it take for the faster mouse to completely climb his way up?

<span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 42 Gerald : Richard 1st day 28 : 59 10th day 415 : 702.5 13th day ... : 1000++a little 13 days~Yi Rui show your working for this~Alex My working is there already~Yi Rui

<span style="font-size: 16pt; color: rgb(255, 0, 0);">Question 41- Alex

Tom is chasing Jerry down the road. Tom is 10 kilometres away from Jerry. Tom's speed is 19 m/s while Jerry's is 36 m/s. With every second Tom's speed increases by 3 m/s while Jerry's speed increases by 1.5 m/s. How many seconds will it take for Tom to catch Jerry?

<span style="font-size: 16pt; color: rgb(51, 102, 255);">Solution 41 Hint 1: The part about spd increment is that e.g. Tom's spd is 19m/s but then the next second is 22 m/s.So in 2 seconds Tom would have traveled 41 m. Hint 2: This is not impossible. Tom will definitely catch Jerry, but then there are 2 parts-Where Tom's speed raises from 19 m/s to equal Jerry's, and from there, calculate how long to catch Jerry. Hint 3: If your answer is a fraction or decimal, put in this format: Answer rounded up/down(Original answer in fraction/decimal) Hint 4: To get the answer in a second, pls bash your head on the wall and hope you get a concussion(no offense.). For hint 3 here is an example: Lets say your answer is 1034.8 seconds. You answer in this format: 1035 seconds(1034.8 seconds).