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UPSC 2015 CDS II Math Paper
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© examsnet.com
Question : 17
Total: 100
A and B are two taps which can fill a tank individually in 10 minutes and 20 minutes respectively. However, there is a leakage at the bottom, which can empty a filled tank in 40 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank with leakage ?
[2015 CDS-II]
2 minutes
4 minutes
5 minutes
8 minutes
Validate
Solution:
Let the volume of the tank be V units. Volume of the tank filled in
1
minute
=
V
10
+
V
20
−
V
40
=
(
4
+
2
1
40
)
V
=
V
8
Therefore, the time taken by both the taps to fill the tank with leakage is 8 minutes.
© examsnet.com
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