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Pipes and Cisterns Practice Test 3 with solutions
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© examsnet.com
Question : 6
Total: 7
A cistern has three pipes P, Q and R. P takes twice as much time taken by Q and R does it in the same time that is taken by P and Q working together. If Pipe ‘P’ alone can fill the tank in 3 hours, then find the time taken by all the three pipes together to fill the tank.
1
1
2
hours
2
3
5
hours
1 hour
3 hours
None of these
Validate
Solution:
Time taken by Pipe ‘P’ = 3 hours
Time taken by Pipe ‘Q’ = 6 hours
Part of cistern filled by both P and Q in one hour
=
1
3
+
1
6
=
2
+
1
6
=
1
2
So, time taken by both Pipe ‘P’ and ‘Q’ = 2 hours
So, time taken by Pipe ‘C’ 2 hours
Part of cistern filled by all three in 1 hour =
1
3
+
1
6
+
1
2
=
2
+
1
+
3
6
=
6
6
= 1
So, if all the three pipes are opened simultaneously they will fill the cistern in 1 hour.
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