Three pipes A, B and C can fill a tank in 8 hours. After working at it together for 4 hours, C is closed and A and B can fill the remaining part in 8 hours. The number of hours taken by C alone to fill the cistern is:

Options
- 14 hours
- 16 hours
- 18 hours
- 12 hours

CORRECT ANSWER : 16 hours

Discussion Board
answer breakup

amount of work done by a,b,c in 4 days = 4(1/8) = 1/2
remaining work(1-1/2) is done by a & b in 8 hours
a,b can complete full work in,
1/2 ----- 8
1 ------- ? cross multiply
? = 1/16 (16 hours)
in 1 day amount of work done by a and b is 1/16
in 1 day amount of work done by a,b,c is 1/18
in 1 day amount of work done by c is 1/8 - 1/16 = 16
so c completes work in 16 hours

Vinay 02-19-2021 10:52 AM

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