lsquo A rsquo can complete a piece of work in 12 days lsquo A rsquo and lsquo B rsquo together can ...........

Quant (SSC) Time and work

‘A’ can complete a piece of work in 12 days ‘A’ and ‘B’ together can complete the same piece of work in 8 days. In how many days can ‘B’ alone complete the same piece of work?

15 days

18 days

24 days

28 days

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Explanation:

To solve this question, we can apply a short trick approach;
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 = 8 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
8 x 12 /12 - 8 = 96/4 = 24 days