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Question

# A tap fills a tank completely with water in 5 hours. The tap on the bottom of tank being kept open, it takes 6 hours to fill the tank with water. In how many hours does the tap at the bottom completely drain out water from the tank?

A
11 hours
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B
30 hours
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C
22 hours
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D
15 hours
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Solution

## The correct option is A 11 hoursLet the rate of which water is filled =x lit/hr∴ Volume of tank =5x litreLet the rate at which water is drained =y lit/hrA/Q, 6(x−y)=5x⇒6x−6y=5x⇒6y=x⇒y=x/6Time to taken water completely =5xy=5xx/6=30 hrs [B]

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