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A and B together can do a peace of work in 12 days, which B and C toge

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V
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A and B together can do a peace of work in 12 days, which B and C toge  [#permalink]

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New post 26 Nov 2018, 01:07
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (02:38) correct 39% (02:20) wrong based on 18 sessions

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A and B together can do a peace of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 Days and B for 7 Days, C finishes in 13 days. In how many days C alone will do the work?

A. 13
B. 17
C. 19
D. 21
E. 24

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Re: A and B together can do a peace of work in 12 days, which B and C toge  [#permalink]

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New post 26 Nov 2018, 03:09
4
Let's take total work needs to be done is 48 units (LCM of 12 and 16).

Given
A+B can do a 48 units work in 12 days.
In 1 day A+B can do 4 units of work.

B+C can do 48 units of work in 16 days
In 1 day B+C can do 3 units of work.

From question,

5A+7B+13C = 48.

5(A+B)+2B+2C+11C = 48.

5(A+B)+2(B+C)+11 = 48.

5x4+2x3+11C=48.

C = 2 units for 1 day.

So,48 units of work C will take 24 days.

Ans:-E
GMAT Club Bot
Re: A and B together can do a peace of work in 12 days, which B and C toge &nbs [#permalink] 26 Nov 2018, 03:09
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A and B together can do a peace of work in 12 days, which B and C toge

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