Two pipes can fill a cistern separately in 20 minutes and 40 minutes r

1.	Two pipes can fill a cistern separately in 20 minutes and 40 minutes respectively and a waste pipe can drainoff 35 gallons per minute, if all three pipes are opened, the cistern gets filled in an hour. What is the capacityoff the cistern?
Answer» The pipe A can fill in 24 minutes the pipe B can fill in 40 minutes and the pipe C can empty in x minutes. 1/24+1/40−1/x=1/60[given] 1/x=1/24+1/40−1/60=5+3−2/12=6/120=1/20 C can empty in 20 minutes. In one minute, 'C' can waste 30 litres of water. Capacity of the tank =20×30= 600 litres.

Two pipes can fill a cistern separately in 20 minutes and 40 minutes respectively and a waste pipe can drainoff 35 gallons per minute, if all three pipes are opened, the cistern gets filled in an hour. What is the capacityoff the cistern?

Answer»

The pipe A can fill in 24 minutes

the pipe B can fill in 40 minutes

and the pipe C can empty in x minutes.

1/24+1/40−1/x=1/60[given]

1/x=1/24+1/40−1/60=5+3−2/12=6/120=1/20

C can empty in 20 minutes.

In one minute, 'C' can waste 30 litres of water.

Capacity of the tank =20×30= 600 litres.