Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Q1. Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Answer: 9 min
Explanation: Combined fill rate of both taps = 1/10 + 1/15 = 1/6 per min; with waste pipe open, net rate = 1/18 per min; so waste pipe drains 1/6 − 1/18 = 1/9, emptying the cistern in 9 minutes.