Question

a tap can fill a cistern in 45 minutes and outlet can empty it in 15 minutes in how many minutes the empty cistern will be filled if both the taps and outlet are open the simultaneously​

Answer 1

Answer:

Here is the explanation:

Step-by-step explanation:

Since, when all the pipes will be open at the same time, the time taken over all to fill the tank will be calculated as follows:

(1/18)+(1/15)−(1/45)

Here 1/18 is pipe 1’s rate of filling the 1 unit of tank in 18 minutes,

1/15 is pipe 2’s rate of filling the 1 unit of tank in 15 minutes, and

1/45 is pipe 3’s rate of emptying the 1 unit of tank in 45 minutes

The answer after calculation will be:

9/90 = 1/10 = 1 unit of tank/10 minutes

So, it will take 10 minutes to fill a tank.