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

Quantitative Aptitude ( CCS) Pipes&cistern

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

3hrs

3hrs 15 min

3hrs 45 min

4hrs

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Explanation:

Time taken to fill the half tank = 6/2 = 3 hrs.—(1/2 part is filled)
Remaining part = ½
Time taken to fill the remaining part = [1/(4×1/6)] ×(1/2) = (3×1)/(2×2) = 3/4hrs
¾ hrs = 45 min
Total time = 3hrs+45 min = 3hrs 45min

Hence, option 3 is the correct answer.