Abhijit Guha Solutions for Chapter: Pipes and Cistern, Exercise 1: Practice Problems Level 1

If two pipes opened together, a tank is filled in $12$ hours. One pipe fills the tank $10$ hours faster than the other. How many hours does the faster pipe alone take to fill the tank?

Two taps can fill a tank in $12$ and $18$ minutes, respectively. Both are kept open for $2$ minutes and the first is turned off. In how more minute will the tank be filled?

Filling pipe, if opened alone, takes $5$ min to fill a cistern. Suddenly, during the course of filling, the waste pipe (which is of similar size and flow as of fill pipe) is opened for $2$ minutes; then the cistern will be filled in

Two filling pipes can fill a cistern in $10$ and $12$ minutes, respectively, and they can together fill it in $15$ minutes. The waste pipe can empty the full cistern in

A tank has a leak which would empty it in $6$ hours. A tap is turned on which admits $8 \mathrm{L}$ a minutes into tank, and it is now-emptied in $10$ hours. The capacity of tank in litres will be

Two pipes A and B can fill a tank in $20$ minute and $25$ minutes, respectively. If both the pipes are opened simultaneously, then after how much time should Abe closed so that the tank is full in $20$ minutes?

Two pipes A and B can fill a tank in $24$ minutes and $30$ minutes, respectively, but a third pipe C can empty it in $12$ minutes. The first two pipes are kept open for $10$ minutes at the start and then pipe C is also opened. The cistern will be emptied is

Three pipes A, B and C can fill a cistern in $7$ hours. After working at it together for $2$ hours, C is closed. Now A and B require $10$ hours more to fill it. Then C alone will empty it in