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There is a leak in the bottom of a cistern. When the cistern
is thoroughly repaired, it would be filled in 3 ? hours. It
now takes half an hour longer. If the cistern is full, how
long will the leak take to empty the cistern?
(a) 24 hours
(b) 28 hours
(c) 21 hours
(d) 27 hours
(e) None of these
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Answer Posted / godwin justin
Let's assume the tank has 12 litres capacity. The pipe can fill in 3 hours therefore efficiency= 12/3=4. Now the leak caused the tank to be filled in 3 1/2 hrs.
Total capacity/efficiency of pipe-efficiency of leak=time taken
ie,12/4-x=7/2
X=(28-24)/7= 4/7 which is the efficiency of d leak.
So time take by the leak to empty the tank is:
12÷ 4/7 12*7/4= 7*3 = 21 hours
| Is This Answer Correct ? | 5 Yes | 4 No |
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