**Quote:**

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 1Work/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 2Not 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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