M. Tyra Solutions for Chapter: Pipes and Cisterns, Exercise 1: Exercises

One tap can fill a cistern in $2$ hours and another can empty the cistern in $3 \mathrm{hrs}$. How long will they take to fill the cistern if both the taps are opened?

Two taps can separately fill a cistern in $10$ 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 _____ minutes.

A cistern has two taps which fill it in $12 \min$ and $15 \min$ respectively. There is also a waste pipe in the cistern. When all the pipes are opened, the empty cistern is full in $20 \min$. How long will the waste pipe take to empty a full cistern?

A tank can be filled by one tap in $20 \min$. and by another in $25 \min$. Both the taps are kept open for $5 \min$. and then the second is turned off. In how many minutes more will the tank be completely filled?

A cistern is normally filled in $8$ hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in _____ hrs.

Two pipes X and Y can fill a cistern in $24 \min$. and $32 \min$. respectively. If both the pipes are opened together, then after how much time should Y be closed so that the tank is full in $18$ minutes?

A leak in the bottom of a tank can empty the full tank in $6$ hours. An inlet pipe fills water at the rate of $4$ litres per minute. When the tank is full, the inlet is opened and due to the leak the tank is emptied in $8$ hours. The capacity of the tank is _____ litres.

A tank has two inlets: P and Q. P alone takes $6$ hours and Q alone takes $8$ hours to fill the empty tank completely when there is no leakage. A leakage was caused which would empty the full tank completely in 'X' hours when no inlet is open. Now, when only inlet P was opened, it took $15$ hours to fill the empty tank completely. How much time will Q alone take to fill the empty tank completely? (in hours)