Question
Pipe P can fill half of the tank in 8 hrs 5 min and pipe
Q can fill the same tank completely in 16 hrs 5 min. Another pipe R can empty the full tank in 12 hrs. If all the pipes are opened together then in how much time 66.66% of the tank is filled?Solution
Pipe A can fill half of the tank in =8 hrs 5 min Then pipe A can fill the full tank in =16 hrs 10 min So, pipe A can fill the full tank approximately in =16 hrs Pipe B can fill the same tank approximately in =16 hrs Pipe C can empty the full tank in =12 hrs One hour capacity of A = 1/16 One hour capacity of B = 1/16 One hour capacity of C = -1/12 Total capacity = 48 units (LCM of 16, 16, 12) Efficiency of pipe A = 3 units/hr Efficiency of pipe A = 3 units/hr Efficiency of pipe A = -4 units/hr 
= 16 hrs
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