A pipe can fill a tank completely in 40 hours but it takes eight hours more due to a leak. If a second pipe which is half the efficiency of the first one is opened and the first pipe is closed, in how much time will the second pipe along with the leak be able to fill half the tank?
A pipe can fill a tank completely in 40 hours but it takes eight hours more due to a leak. If a second pipe which is half the efficiency of the first one is opened and the first pipe is closed, in how much time will the second pipe along with the leak be able to fill half the tank?
Option 1 -
30 hours
Option 2 -
60 hours
Option 3 -
45 hours
Option 4 -
40 hours
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1 Answer
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Correct Option - 2
Detailed Solution:Let the total work be 240 units.
Total Work = 240 Units
Pipe 1: 40 hours = 6 units/h
Pipe 1 + Leak: 48 hours = 5 units/h
Leak can empty 1 unit in 1 hour.
Pipe 2 can fill 3 units per hour (half as efficient as the first one)
Therefore, effective filling is 2 units per hour.
Therefore, 120 units (half the tank) will get filled in 60 hours.
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