A and B together can finish a work in 9 days A alone can finish the work in 12 days In how many days...........

Quant (SSC) Time and work

A and B together can finish a work in 9 days. A alone can finish the work in 12 days. In how many days will B alone finish the work?

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Explanation:

If A and B together can do a piece of work in x day and A alone can do it in y days, then B alone can do the work in xy/y - x days
Given:
Time taken by A and B together to finish a piece of work = x = 9 days
Time taken by A alone to finish the same piece of work = y = 12 days.
By the short trick approach:
B alone can do the whole work in
= 12 x 9/12 - 9 = 108/3 = 36 days