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 A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in

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 A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in

A). 3 days

B). 5 days

C). 8 days

D). 10 days


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Answered by on | Votes 0 |

10 days



(B + C)'s 1 day's work = 1/9 + 1/12 = 7/36 .

Work done by B and C in 3 days = 7/36 x 3 = 7/12
.
Remaining work = 1 - 7/12 = 5/12
.
Now, 1/24 work is done by A in 1 day.

So, 5/12 work is done by A in 24 x 5/12 = 10 days.

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