Ratio and Proportion
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Pipe and Cistern
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Pipe and Cistern

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Q 1. Two pipes {tex} A {/tex} and {tex} B {/tex} can fill a tank in 20 minutes and 30 minutes respectively. If both pipes are opened together, the time taken to fill the tank is:

50 minutes

12 minutes

25 minutes

15 minutes

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Q 2. A cistern can be filled with water by a pipe in 5 hours and it can be emptied by a second pipe in 4 hours. If both the pipes are opened when the cistern is full, the time in which it will be emptied is :

9 hours

18 hours

20 hours

{tex} 20 \frac { 1 } { 2 } {/tex} hours

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Q 3. Two pipes {tex} A {/tex} and {tex} B {/tex} can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?

110 minutes

100 minutes

120 minutes

90 minutes

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Q 4. Two pipes can fill a cistern in 3 hours and 4 hours respectively and a waste pipe can empty it in 2 hours. If all the three pipes are kept open, then the cistern will be filled in :

5 hours

8 hours

10 hours

12 hours

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Q 5. A pipe can fill a tank in "{tex} x {/tex}" hours and another pipe can empty it in "{tex} y {/tex}" {tex} ( y > x ) {/tex} hours. If both the pipes are open, in how many hours will the tank be filled?

{tex} ( x - y ) {/tex} hours

{tex} ( y - x ) {/tex} hours

{tex} \frac { x y } { x - y } {/tex} hours

{tex} \frac { x y } { y - x } {/tex} hours

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Q 6. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?

15

{tex} 9 {/tex}

10

12

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Q 7. Three taps {tex} A , B {/tex} and {tex} C {/tex} together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap {tex} B {/tex} alone in 40 minutes. How long will the tap {tex} C {/tex} alone take to fill it?

16 minutes

24 minutes

32 minutes

40 minutes

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Q 8. One tap can fill a water tank in 40 minutes and another tap can make the filled tank empty in 60 minutes. If both the taps are open, in how many hours will the empty tank be filled?

2 hours

2.5 hours

3 hours

3.5 hours

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Q 9. A tank can be filled by pipe A in 2 hours and pipe {tex} B {/tex} in 6 hours. At 10 A. M. pipe A was opened. At what time will the tank be filled if pipe {tex} B {/tex} is opened at 11 A. M.?

{tex} 12.45 \mathrm { A.M } {/tex}

{tex} 5 \mathrm { P } . \mathrm { M } {/tex}

{tex} 11.45 \mathrm { A.M } {/tex}

{tex} 12 \mathrm { P } . \mathrm { M } {/tex}

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Q 10. Two pipes, {tex} P {/tex} and {tex} Q {/tex}, together can fill a cistern in 20 minutes and {tex} P {/tex} alone can in 30 minutes. Then {tex} Q {/tex} alone can fill the cistern in

62 minutes

60 minutes

61 minutes

51 minutes

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Q 11. Two pipes {tex} A {/tex} and {tex} B {/tex} can fill a cistern in 3 hours and 5 hours respectively. Pipe {tex} C {/tex} can empty in 2 hours. If all the three pipes are open, in how many hours the cistern will be full?

can't be filled

10 hours

15 hours

30 hours

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Q 12. Three taps {tex} A , B , C {/tex} can fill an overhead tank in {tex} 4,6 {/tex} and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together?

2 hrs.

4 hrs.

3 hrs

5 hrs.

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Q 13. A cistern is provided with two pipes {tex} A {/tex} and {tex} B {/tex}. A can fill it in 20 minutes and {tex} B {/tex} can empty it in 30 minutes. If {tex} A {/tex} and {tex} B {/tex} be kept open alternately for one minute each, how soon will the cistern be filled?

121 minutes

110 minutes

115 minutes

120 minutes

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Q 14. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5.5 minutes and then the first tap is closed, how long will it take for the tank to be full?

20 minutes

25 minutes

30 minutes

45 minutes

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Q 15. Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in

39 minutes

46 minutes

40 minutes

45 minutes

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Q 16. Two pipes {tex} A {/tex} and {tex} B {/tex} can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in

1 hour 12 minutes

2 hours 30 minutes

1 hour 15 minutes

1 hour 20 minutes

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Q 17. Pipe A can fill an empty tank in 6 hours and pipe {tex} \mathrm { B } {/tex} in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time {tex} \mathrm { B } {/tex} will take to fill the remaining tank?

{tex} 7 \frac { 1 } { 2 } {/tex} hours

{tex} 2 \frac { 2 } { 5 } {/tex} hours

{tex} 2 \frac { 1 } { 3 } {/tex} hours

{tex} 3 \frac { 1 } { 3 } {/tex} hours

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