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Anil Kumar

· started a discussion

· 1 Months ago

How 108 is arrived in second step

Question:
Two pipes A and B can fill a tank in 20 h and 30 h respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full, a leak develops in the tank. Due to this leakage one-third of the water supplied by pipes A and B goes waste. What is the total time to fill the tank if the leak is not closed?
Options:
A) 12 h
B) 16 h
C) 18 h
D) 20 h
E) None of these
Solution:

Efficiency of first pipe = 100/20 = 5% per hour.

Efficiency of second Pipe = 100/30 = 3.33% per hour.

Efficiency of both pipe together = 5 + 3.33 = 8.33% per hour.

1/3 i.e. 33.33% tank be filled by these two pipes in = 33.33/8.33 = 4 hours.

Now, tank is empty and it need to be filled from zero. So

Time taken to Fill the empty tank = 100/8.33 = 12 hours.

So, Total time taken to filled the tank = 4 + 12 = 16 hours.

kanhaiya jha

· commented

· 1 Months ago

its CP of mixture = (71.28 * 100)/108=66

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