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Pipes and Cisterns Practice Test 3 with solutions
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© examsnet.com
Question : 3
Total: 7
Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 32 minutes extra are taken for the cistern to be filled up. When the cistern is full, in what time will the leak empty it?
108 hours
112 hours
116 hours
120 hours
Validate
Solution:
In 1 hour the part filled by both the pipes =
1
14
+
1
16
=
15
112
Hence, both the pipes will fill the cistern in
112
15
min.
But due to leakage, the tank will be filled in
112
15
+
32
60
=
120
15
= 8 hrs.
Since, in 1 hr. the part emptied by the leakage =
15
112
−
1
8
=
1
112
Therefore, leakage will empty the tank in 112 hrs.
© examsnet.com
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