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A and B can do a piece of work together in 9 days while A alone can do it 15 days. They start working together but B leaves 3 days before the completion of the work. For how many days did A and B work together?

A and B can do a piece of work together in 9 days while A alone can do it 15 days. They start working together but B leaves 3 days before the completion of the work. For how many days did A and B work together? Correct Answer 7.2

Given,

A and B can do a piece of work together in 9 days

⇒ (A and B)’s 1 day work = 1/9

⇒ A’s 1-day work = 1/15

As B left leaves before the completion of the work therefore A will work for last 3 days alone.

⇒ A’s last 3 days work = (1/15) × 3 = 1/5

⇒ Remaining work = 1 – (1/5) = 4/5

A and B have to work of 4/5 together,

A and B will work together = (4/5)/(1/9) = (4/5) × 9 = 36/5 = 7.2 days.

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