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word problem

by sud21 » Sat Jan 28, 2012 11:36 pm
A and B finished half of a certain work. It cost them 4 hours (A+B). How many hours will it take for A to finish the work?
1). It will cost 2 hours for A and B working together to finish the work.
2). A is quicker than B
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Source: — Data Sufficiency |
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by Jim@StratusPrep » Sun Jan 29, 2012 2:58 pm
I think you may have translated this problem incorrectly. If not the answer is E.
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by pemdas » Sun Jan 29, 2012 3:16 pm
(1/2)/(A+B)=1/4, find A?

condition restated as (A+B)=1/2

st(1) 1/(A+B)=2 the same as given condition (A+B)=2 Not Sufficient
st(2) A<B, A=1/2-B and (1/2-B)<B
1/2<2B, 1/4<B. If B>1/4, then A<1/4 can be anything Not Sufficient

combining st(1&2): Not Sufficient
e
sud21 wrote:A and B finished half of a certain work. It cost them 4 hours (A+B). How many hours will it take for A to finish the work?
1). It will cost 2 hours for A and B working together to finish the work.
2). A is quicker than B
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