CASE STUDY CHALLENGE

Pipes and Cisterns: Water Tank Management

For providing water to the families of a colony, a large water tank with two inlet pipes A and B and an outlet pipe C, is installed.

Work Rates Given:

  • • Pipe A (Inlet): Fills the tank in 10 hours.
  • • Pipe B (Inlet): Fills the tank in 12 hours.
  • • Pipe C (Outlet): Empties the tank in 15 hours.

Answer the following:

(i) If both pipes A and B are opened together, then find the time in which the tank will be filled completely. [1]
(ii) If both pipes A and C are opened together, then find the time in which the tank will be filled completely. [1]
(iii) (a) If all the three pipes A, B, and C are opened together, then find the time in which the tank will be filled completely.

— OR —

(b) Pipes A and B are opened together for some time and then pipe B is turned off. If the tank is completely filled in 6 hours, then after how many hours is pipe B turned off?

 [2]
Next