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 A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in

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 A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in

A). 19 days

B). 13 days

C). 10 days

D). 6 days


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Answered by on | Votes 0 |

6 days



A and B’s 1 day’s work = 1/3 

Their 2 day’s work = 1/3 × 2 = 2/3 

Remaining work = 1/3 

1/3 of the work is finished by A in 2 days 

Then, the whole work can be finished by A alone in 3 × 2 = 6 days 

So, A’s 1 day’s work = 1/6 

Therefore, B’s 1 day’s work = 1/3 – 1/6 = 1/6 

Therefore, the whole work can be done B alone in 6 days

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