two taps P and Q can fill a pool in 6 hours and 9 hours respectively third type R can empty the pool in 12 hours how long will it take to fill the pool if the all the taps are opened together.Please give step-by-step explanation.
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Answered by
10
Answer:
36/7 hours
Step-by-step explanation:
Tank filled in 1 hour by tap P = 1/6
Tank filled in 1 hour by tap Q = 1/9
Tank emptied in 1 hour by tap R = 1/12
Tank filled in 1 hour = 1/6 + 1/9 - 1/12
= 7/36
Total time to fill the tank is 36/7 hours
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Answered by
2
Answer:
36/7
Step-by-step explanation:
Tank filled in 1 hour by tap P =1/6
Tank filled in 1 hour by tap Q =1/9
Tank emptied in 1 hour by tap R =1/12
Tank filled in 1 hour= 1/6+1/9-1/12
=7/36
Total time to fill the tank is 36/7 hours
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