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Pipes and Cisterns Practice Test 1 with solutions
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© examsnet.com
Question : 23
Total: 40
Two inlet pipes A and B, can individually fill a tank in 1 hour and 40 minutes respectively. Both the pipes are opened simultaneously, but Pipe B got burst 4 minutes before the schedule to fill the tank completely. The tank is filled by Pipe A alone. Find the total time taken by Pipe A to fill the tank.
45 minutes
30 minutes
24 minutes
28 minutes
None of the above
Validate
Solution:
👈: Video Solution
Work done by A and B together in one minute
=
1
60
+
1
40
=
2
+
3
120
=
5
120
=
1
24
So, tank was scheduled to be filled in 24 minutes
⇒ Pipe B burst after 20 minutes.
So, part of tank filled in 20 minutes by A and B = 20 ×
5
120
=
5
6
Part of tank that remains empty =
1
6
Time taken by Pipe A to fill the tank = 60 minutes
Time taken by A to fill
1
6
th part of the tank =
60
×
1
6
= 10 minutes
Total time taken to fill the tank = 20 + 10 = 30 minutes.
© examsnet.com
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