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 A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work together and are forced to leave after 2 days. The time taken to complete the remaining work is

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 A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work together and are forced to leave after 2 days. The time taken to complete the remaining work is

A). 15 days

B). 22 days

C). 6 days

D). 19 days


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Answered by on | Votes 0 |

6 days



A’s 1 day work = 1/9 

B’s 1 day work = 1/10 

C’s 1 day work = 1/15 

B + C ‘ s 1 day work = 1/10 + 1/15 = 1/6 

B + C’s 2 day’s work = 1/6 × 2 = 1/3 

The work remaining = 1 – 1/3 = 2/3 

A can do the full work in 9 days. 

So, the remaining 2/3 of the work is done by A in 2/3 × 9 days = 6 days.

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