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A
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Difficulty:
35%
(medium)
Question Stats:
72% (02:01) correct
28%
(01:58)
wrong
based on 215
sessions
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Date
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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?
A. (3a/2)hours
B. (2a/3)hours
C. (4a/3)hours
D. (3a/4)hours
E. (3a/5)hours
A. (3a/2)hours
B. (2a/3)hours
C. (4a/3)hours
D. (3a/4)hours
E. (3a/5)hours
22 Jul 2018, 10:30
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AkshdeepS
Say the leak can empty the tank in x hours.
Pipe A can fill a tank in ‘a’ hours.
If there is a leak, the tank is filled in 3a hours. So, (the rate of the pipe A) - (the rate of the leak) = (the rate of the filling):
1/a - 1/x = 1/(3a);
1/x = 1/a - 1/(3a) = 2/(3a);
x = 3a/2.
Answer: A.
22 Jul 2018, 12:24
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AkshdeepS
in 3a hours, tank should have filled 3 times,
but it filled only 1 time
so, in 3a hours, tank effectively drained 3-1=2 times
therefore, it will drain 1 time in 3a/2 hours
3a/2
a
