1) A cistern has two taps which fill it in $12$ minutes and $15$ minutes respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in $20$ minutes. How long will the waste pipe take to empty the full cistern ? A) 20 minutes B) 30 minutes C) 40 minutes D) 50 minutes E) 10 minutes Answer: Option EExplanation:Work done by the waste pipe in $1$ minute $=\left[\frac{1}{20}-\left(\frac{1}{12}+\frac{1}{15}\right)\right]$ $=-\frac{1}{10}$ Waste pipe will empty the full cistern in 10 minutes.
