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 for the tank to get filled?
Time to fill tank with 1 tap = 6hrs
Therefore, time to fill half tank = 6/2 = 3hrs.
4 taps fill remaining half.
Efficiency per tap = 1/6Â
Let the time taken for remaining half tank be t.
Efficiency x time = work
$$ (\frac{1}{6} \times 4)t = 0.5 $$
i.e t = 3/4 hrs =$$ \frac{3}{4} \times 60 $$ mins = 45 minutes.
Total time = 3hrs + 45 minutes
Therefore, Option D is correct.
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