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UPSC 2014 CDS-II Math Solved Paper
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© examsnet.com
Question : 1
Total: 100
Pipe A can fill a tank in 3 hours. But there is a leakage also, due to which it takes 3-5 hours for the tank to be filled, How much time will the leakage take in emptying the tank if the tank is filled initially?
[2014 CDS-II]
21 hours
20 hours
18 hours
10.5 hours
Validate
Solution:
Let the volume of the tank be V. Volume of the tank filled by the pipe in
1
h
=
V
3
Volume of the tank filled by the pipe with leakage in
1
h
=
V
3.5
∴ Volume of water leaked in
1
h
=
V
3
−
V
3.5
=
0.5
3
×
3.5
V
=
V
21
So, the time taken by the leakage toempty the tank
=
V
(
V
21
)
=
21
h
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