The monsoon season is a month away At the Panchayat level it has been decided to harvest rainwater b...........

Quantitative Aptitude ( CCS) Time and work

The monsoon season is a month away. At the Panchayat level, it has been decided to harvest rainwater by digging a pond at the centre of each village. In village Palampur three persons A, B and C have volunteered for the job. A can do the job in 24 days, B in 9 days and C in 12 days. B and C together start digging the pond but leave after 3 days. The remaining job will be finished by A in _________?

5 days

10 days

15 days

20 days

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Explanation:

B's one day work = 1/9
C's one day work = 1/12
(B+C)'s 1 day work = (1/9) + (1/12)
(B+C)'s 3 days work = 3 [(1/9) + (1/12)] = 7/12
Remaining work = 1 - (7/12) = 5/12
A can finish the remaining work in = (5/12) * 24 = 10 days.