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Multiple Choice Questions

Varun can do a piece of work in 80 days He works at it for 10 days and then Tarun alone finishes the...........

Quantitative Aptitude (HP Allied) Time and work

Varun can do a piece of work in 80 days. He works at it for 10 days and then Tarun alone finishes the remaining work in 42 days. The two together could complete the work in :

24 days

25 days

30 days

35 days

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Explanation:

Let A = Varun, B = Tarun.
Work done by A in 10 days = (1/80) * 10 = 1/8
Remaining work=(1 - (1/8)) = 7/8
Now, 7/8 work is done by B in 42 days
Whole work will be done by B in 42 * (8/7) = 48 days.
As 1 days work = 1/80 and B's 1 days work = 1/48
(A + B)’s 1 days work = [(1/80) + (1/48)] = 8/240 = 1/30
so, both will finish the work in 30 days.

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