Correct option is C
Given:
Time taken by Pipe 1 to fill the tank = 5 hours
Time taken by Pipe 2 to fill the tank = 6 hours
Time taken by Pipe 3 to empty the tank = 12 hours
Concept Used:
The net rate of filling or emptying the tank is determined by summing the rates of all pipes (positive for filling, negative for emptying). The total time is the reciprocal of the net rate.
Formula Used:
Solution:
Rate of Pipe 1 = (tank per hour)
Rate of Pipe 2 = (tank per hour)
Rate of Pipe 3(emptying pipe) = (tank per hour)
Thus, the tank will be filled in approximately
Alternate Method:
Using the formula;
Total work = Efficiency × Total time
Total work = LCM of 5, 6, 12 = 60
Efficiency of Pipe 1 = = 12
Efficiency of Pipe 2 = = 10
Efficiency of Pipe 3 (emptying pipe) = = 5
As, third pipe is emptying pipe;
Total efficiency of three pipes = 12 + 10 – 5 = 17
Time taken by three pipe to filled the tank ;
Time = hours
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