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A& B on working together take n hours to complete work.

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Director
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A& B on working together take n hours to complete work.  [#permalink]

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New post 04 Mar 2019, 10:55
5
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

54% (01:33) correct 46% (01:58) wrong based on 52 sessions

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A& B on working together take n hours to complete work. If B takes (n+9) hours to complete the work alone, how many hours will A take to complete the work alone?

I. A takes 5 hours less than B, to complete the work alone.
II. n=6
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Re: A& B on working together take n hours to complete work.  [#permalink]

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New post 04 Mar 2019, 11:08
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Given that \(\frac{1}{A}+\frac{1}{B} = \frac{1}{n}\)
Also, \(\frac{1}{B} = \frac{1}{n+9}\)

From S1:

A takes 5 hours less, means A takes n+4 hours.
From the given info, \(\frac{1}{n+4}+\frac{1}{n+9} = \frac{1}{n}\)
Solving gives, n = 6.
Sufficient.

From S2:

Given n = 6. then A takes n+4 = 10 hours.
Sufficient.

D is the answer.

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https://gmatclub.com/forum/machines-a-and-b-working-together-take-t-minutes-to-comple-147714.html
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Re: A& B on working together take n hours to complete work.   [#permalink] 04 Mar 2019, 11:08
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