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Pipes and Cisterns Practice Test 2 with solutions
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© examsnet.com
Question : 40
Total: 40
A swimming pool has three drain pipes. The first two pipes A and B operating together, can empty the pool in half the time than C, the 3rd Pipe, that alone of emptying it. Pipe A working alone, takes half the time taken by Pipe B. Together, they take 4 hours to empty the pool. Find the time taken by Pipe A alone to empty the pool.
10 hours
5 hours
8 hours
9 hours
None of the above
Validate
Solution:
Let time taken by Pipe A alone = x
Time taken by Pipe B alone = 2x
Part of pool emptied by A and B together
=
1
x
+
1
2
x
=
1
x
(
1
+
1
2
)
=
3
2
×
1
x
So, time taken by A and B together =
2
x
3
Time taken by C = 2 ×
2
x
3
=
4
x
3
Part of pool emptied by A, B and C together
=
1
x
+
1
2
x
+
3
4
x
=
1
x
[
1
+
1
2
+
3
4
]
=
1
x
[
4
+
2
+
3
4
]
=
9
4
x
Time taken by all together =
4
x
9
4
9
x
= 4 hours
4
9
x
= 4
x =
9
4
×
4
x = 9 hours
So, time taken by pipe A alone is 9 hours
© examsnet.com
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