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In a cookie-eating contest, there are 200 cookies provided [#permalink]

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18 Jun 2011, 21:03

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In a cookie-eating contest, there are 200 cookies provided to each contestant. Both start at the same time. Contestant A wins the contest by eating 20 more cookies than Contestant B. How many cookies did the winner eat altogether?

(1) Contestant A ate his cookies at a constant rate of 20 cookies per minute and Contestant B ate her cookies at a constant rate of 15 cookies per minute.

In a cookie-eating contest, there are 200 cookies provided to each contestant. Both start at the same time. Contestant A wins the contest by eating 20 more cookies than Contestant B. How many cookies did the winner eat altogether?

(1) Contestant A ate his cookies at a constant rate of 20 cookies per minute and Contestant B ate her cookies at a constant rate of 15 cookies per minute.

(2) Contestant A is younger than Contestant B.

Answer A st:1 20X-15X = 20 5X= 20 X = 4 so the winner ate 20*4 = 80 cookies hence sufficient

In a cookie-eating contest, there are 200 cookies provided to each contestant. Both start at the same time. Contestant A wins the contest by eating 20 more cookies than Contestant B. How many cookies did the winner eat altogether?

(1) Contestant A ate his cookies at a constant rate of 20 cookies per minute and Contestant B ate her cookies at a constant rate of 15 cookies per minute.

(2) Contestant A is younger than Contestant B.

From Statement 1 Work/Speed=Time A: 20/min B:15/min We have the rate of each contestant, total number of cookies and differential no. of cookies eaten. We have every info needed to find out total number of cookies eaten by A. ---> Sufficient

From Statement 2 Not helpful. Insufficient.

this is how it will work out if you pursue the solution from statement 1... Speed*Time=Work speed*time of A - speed*time of B = Difference in no. of cookies eaten Let t=time taken for contest 20t-15t=20 5t=20 t=4

20*4=80cookies A ate 80 cookies. _________________

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In a cookie-eating contest, there are 200 cookies provided to each contestant. Both start at the same time. Contestant A wins the contest by eating 20 more cookies than Contestant B. How many cookies did the winner eat altogether?

(1) Contestant A ate his cookies at a constant rate of 20 cookies per minute and Contestant B ate her cookies at a constant rate of 15 cookies per minute.

(2) Contestant A is younger than Contestant B.

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In a cookie-eating contest, there are 200 cookies provided to each contestant. Both start at the same time. Contestant A wins the contest by eating 20 more cookies than Contestant B. How many cookies did the winner eat altogether?

(1) Contestant A ate his cookies at a constant rate of 20 cookies per minute and Contestant B ate her cookies at a constant rate of 15 cookies per minute.

(2) Contestant A is younger than Contestant B.

Total number of cookies = 200. This is irrelevant information because A and B did not finish all the cookies. A - B = 20 A = total cookies eaten by A B = total cookies eaten by B

(1) A = 20t B =15t 20t - 15t = 20 => t = 4 A = 20x4 = 80 Sufficient

Re: In a cookie-eating contest, there are 200 cookies provided [#permalink]

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13 Sep 2016, 06:29

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