A tap can fill a tank in 6 hours After half the tank is filled three more similar taps are opened Wh...........

Quant (SSC) Pipes&cistern

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 ?

4 hrs 15 min

3 hrs 24 min

4 hrs 51 min

3 hrs 45 min

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Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.
Part filled by the taps in 1 hour = 4 x 1/6 = 2/3
Remaining part = 1 - 1/2 = 1/2
2/3 : 1/2 :: 1 : p
p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min
So, total time taken = 3 hrs 45 min.