A and B together can complete a particular task in 4 days If A alone can complete the same task in 1...........

Quant (SSC) Time and work

A and B together can complete a particular task in 4 days. If A alone can complete the same task in 12 days. How many days will B take to complete the task if he works alone?

none of these

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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:
A and B together finish a piece of work = x = 4 days
A alone finish a piece of work = y = 12 days.
By the short trick approach:
B alone can do the whole work in
4 x 12 /12 - 4 = 48/8 = 6 days