Work and Time - Quant/Math -
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Question 4 the day: October 10, 2002
The question for the day is from the topic of Work and Time.

Pipe A can fill a tank in 'a' hours. On account of a leak at the bottom of the tank it takes thrice as long to fill the tank. How long will the leak at the bottom of the tank take to empty a full tank, when pipe A is kept closed?

(1)

(3/2)a hours

(2)

(2/3)a

(3)

(4/3)a

(4)

(3/4)a

Solution:

Pipe A fills the tank in 'a' hours. Therefore, of the tank gets filled in an hour. On account of the leak it takes 3a hours to fill the tank. Therefore, of the tank gets filled in an hour. Let the leak at the bottom of the tank take 'x' hours to empty the tank. Hence, of the tank gets emptied every hour.

Hence, x =