Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?

Related Mcqs:

1. 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 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?

   A. 5260 liters
   B. 5760 liters
   C. 5846 liters
   D. 6970 liters

2. A leak in the bottom of a tank can empty the full tank in 6 hrs.  An inlet pipe fills water at the rate of 4 lit. a minute.  When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs.  The capacity of the tank in liters is_________?

   A. 5,750 litres
   B. 5,760 litres
   C. 6,890 litres
   D. None of these

3. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?

   A. 1 hr
   B. 2 hrs
   C. 6 hrs
   D. 8 hrs

4. Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?

   A. 16 hours
   B. 15 hours
   C. 18 hours
   D. 17 hours

5. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?

   A. 4 1/3 hrs
   B. 7 hrs
   C. 8 hrs
   D. 14 hrs

6. Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?

   A. 480 liters
   B. 540 liters
   C. 600 liters
   D. 675 liters

7. A leak in the lower portion of a tank can empty the full tank in 9 hrs.  An inlet pipe fills water at the rtae of 10 lit. a minute.  When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs.  How many litres does the cistern hold ?

   A. 12,342 litres.
   B. 12,444 litres
   C. 12,566 litres.
   D. None of thes

8. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?

   A. 6 hrs
   B. 10 hrs
   C. 15 hrs
   D. 30 hrs

9. wo pipes X and Y fill a tank in 15 hrs. and 20 hrs. respectively, while a third pipe ‘Z’ can empty the full tank in 25 hrs.  All the three pipes are opened in the beginning.  After 10 hrs. Z is closed.  In how much time, will the tank be full ?

   A. 12 hrs
   B. 14 hrs
   C. 16 hrs
   D. 18 hrs

10. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?

    A. 10
    B. 12
    C. 14
    D. 16