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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
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.
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