GMAT Club Forum :: Pipe A can fill a tank in ‘an’ hours. On account of a leak at the bott : Problem Solving (PS)

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

Author:	AkshdeepS [ 22 Jul 2018, 10:15 ]
Post subject:	Pipe A can fill a tank in ‘an’ hours. On account of a leak at the bott
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

Author:	Bunuel [ 22 Jul 2018, 10:30 ]
Post subject:	Re: Pipe A can fill a tank in ‘an’ hours. On account of a leak at the bott
AkshdeepS wrote: 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) (3/2)hours b) (2/3)hours c) (4/3)hours d) (3/4)hours e) (3/5)hours 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.

Author:	gracie [ 22 Jul 2018, 12:24 ]
Post subject:	Pipe A can fill a tank in ‘an’ hours. On account of a leak at the bott
AkshdeepS wrote: 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 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

Author:	bumpbot [ 22 Nov 2022, 20:35 ]
Post subject:	Re: Pipe A can fill a tank in an hours. On account of a leak at the bott
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