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Pipes and Cistern - General Aptitude

Q1:

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A 3 hrs 15 min

B 3 hrs 45 min

C 4 hrs

D 4 hrs 15 min

ANS:B - 3 hrs 45 min

Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the four taps in 1 hour = 4 x 1 = 2 .
6 3
Remaining part = 1 - 1 = 1 .
2 2
2 : 1 :: 1 : x
3 2
x = 1 x 1 x 3 = 3 hours i.e., 45 mins.
2 2 4
So, total time taken = 3 hrs. 45 mins.