# Can you calculate the number of hours taken by C alone to fill the cistern ?

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Three pipes A , B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill it in 7 hours.
Can you calculate the number of hours taken by C alone to fill the cistern ?

posted Dec 3, 2014

+1 vote

Ans: 14 hrs
Let cistern is of 6 litres (u can assume any no.)
in first 2 hrs 2 litres were filled.then A&B takes 7 hrs to fill 4 litres.So combined speed of A&B is 4/7 lit/hr.
Let speed of C be c lit/hr. so,
4/7×2 + c×2 = 2
c=3/7 lit/hr
So time taken by C to fill whole cistern:
6÷3/7=14 hrs.
Ans=14 hrs

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