lsquo A rsquo can do a piece of work in 20 days and lsquo B rsquo can do the same work in 15 days H...........

Quant (SSC) Time and work

‘A’ can do a piece of work in 20 days and ‘B’ can do the same work in 15 days. How long will they take to finish the work, if both work together?

15 days

10 days

8 4/7 days

20 days

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Explanation:

To solve this question, we can apply a short trick approach;
If A can do a piece of work in x days and B can do it in y days then A and B working together will do the same work in work in
(xy / x + y) days
A's time = x = 20 days
B's time = y = 15 days
By the short trick approach:
A + B can do the work in 20 x 15 /20 + 15 days
= 300 /35 = 60/7 = 8 4/7 days