7. A water tank can be filled by two taps Pand Q in 12 hours and 16 hours respectively. The full tank can be emptied by a third tap R in 8 hours. All the taps are turned on at the same time. Find in how much time will the empty tank be filled completely
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Answer:
P = 8 hrs
Q = 12 hrs
Tap p can fill 1/8 of the tank in one hour
Tap q can fill 1/12 of the tank in one hour
Tap 3 can empty 1/8 of the tank in one hour
Thus, in one hour(1/8 + 1/12 - 1/8),I.e, 1/12 = 12 hours
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