A tap can fill a tank in 6 hours After half the tank is filled then 3 more similar taps are opened W...........

Quant (SSC) Pipes&cistern

A tap can fill a tank in 6 hours. After half the tank is filled then 3 more similar taps are opened. What will be total time taken to fill the tank completely.

2 hours 30 mins

2 hours 45 mins

3 hours 30 mins

3 hours 45 mins

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Explanation:

Half tank will be filled in 3 hours
Lets calculate remaining half,
Part filled by the four taps in 1 hour = 4*(1/6) = 2/3
Remaining part after 1/2 filled = 1-1/2 = 1/2
2/3:1/2::1:X
=>X=(1/2∗1∗32)
=>X=3/4hrs=45 mins
Total time = 3 hours + 45 mins = 3 hours 45 mins