Question

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.​

Answer 1

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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Answer 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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