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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?

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1. 

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

Answer: Option B

Explanation:

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

Part filled by the four taps in 1 hour = 1-sym-oparen-h1 4 x 1 1-sym-cparen-h1 = 2 .
6 3
Remaining part = 1-sym-oparen-h1 1 - 1 1-sym-cparen-h1 = 1 .
2 2
2 : 1 :: 1 : x
3 2
 x = 1-sym-oparen-h1 1 x 1 x 3 1-sym-cparen-h1 = 3 hours i.e., 45 mins.
2 2 4

So, total time taken = 3 hrs. 45 mins.

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