A can do a piece of work in 20 days and B in 30 days They work together for 7 days and then both lea...........

Quant (SSC) Time and work

A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the work. Then C alone finishes the remaining work in 10 days. In how many days will C finish the full work ?

25 days

30 days

24 days

27 days

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Explanation:

Work done by A and B in 7 days
= 7/20 + 7/30 = 7/12
So, remaining work
= 1 - 7/12 = 5/12
Now, 5/12 work done by C in 10 days.
∴ Time taken by C to finish the full work
= 10 x 5/12 = 24 days