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GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper
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© examsnet.com
Question : 8
Total: 65
An oil tank can be filled by pipe X in 5 hours and pipe Y in 4 hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in 20 hours.
If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how many hours will it tak for the tank to be filled? (Assume that the rate of drainage is independent of the head)
2.50
1.50
2.00
4.00
Validate
Solution:
Pipe
X
will fill how much in one hour
=
1
5
tank
Pipe Y will fill how much in one hour
=
1
4
tank
Drainage will drain out how much water in 1 hour
=
1
20
tank
∴
Total tank filled in one hour
=
(
1
5
+
1
4
−
1
20
)
tank
=
2
5
tank
2
5
tank gets filled in
=
1
hour
∴
Full (i) tank gets filled in
=
1
(
2
5
)
×
1
=
5
2
=
2.5
h
r
© examsnet.com
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