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.
The OA (Statement 1 is sufficient) indicates that in 4 minutes there will be a gap of twenty cookies. I don't agree. The question doesn't indicate when the contestants should stop. In this sense, A could have eaten 140 cookies in 7 minutes ,and B could have eaten 120 cookies in 8 minutes.
IMO, the answer is E. What do you think?
I'm going to add my 2 cent to the mix.
I think this is a very poor quality question, from a source about which I have many suspicions.
I agree with danzig
and disagree with most of the rest of the discussion on the page.
This is supposed be a GMAT Problem Solving practice question. The GMAT will always be absolutely precise in specifying the relevant parameters of any situation --- they will make crystal clear everything they intend to make clear, and leave ambiguous or unknown exactly what they intend.
From the juxtaposition of the question and the explanation accompanying the OA, it's apparent that this question makes loads of assumptions that are not made crystal clear.
First of all, the nature of this contest ---- is this a race against the clock with a fixed time? or is it the type of eating context in which each contestant keeps eating until it is no longer physically possible to put more food in? All of this is unclear.
As for the sentence that has garnered a great deal of attention:Contestant A wins the contest by eating 20 more cookies than Contestant B
Does this merely indicate the margin of victory? For example, consider the sentence: "The Mets won their game against the Cardinal by scoring four runs in the seventh
." In that sentence, the four runs merely indicate the margin of victory, but in no way are we specifying that this particular margin is an absolutely necessary condition of victory. Could one read this sentence about "20 cookies" as specifying a defining requirement of victory in this contest? Well, yes, you could
read it that way, but if that is an essential piece of information for solving the question, a defining condition of the scenario, then it must be stated in a way that eliminates all ambiguity. Stating the information in a way that allows for multiple legitimate readings, and only one of those leads to a proper solution --- that is the hallmark of a very poor question.
This question is a mess. Nothing is specified, and no conclusion can be drawn. The only possible answer is (E). I believe your GMAT prep would be well served by finding a difference source of questions.
Let me know if anyone has any questions or wants to argue anything.
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