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Question

# Choose the correct answer from the alternatives given :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 hours 15 min.
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B
3 hours 45 min.
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C
4 hours.
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D
4 hours 15 min.
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Solution

## The correct option is B 3 hours 45 min.Let the capacity of tank be 6 units. Tank filled by A per hour = 66=1 unit hr.Required time for filling half the tank = 31 =3 hoursRemaining volume left =6−3=3 units Now according to the questions, ∴ Required time = 3(1+3)=34×60=45min.Total time = 3 hrs + 45 min = 3 hrs 45 min.

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