Quant Quiz – Time & Work and Pipes – 9

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  1. Three pipes A, B and C can fill a tank in 6 minutes, 8 minutes and 12 minutes, respectively. The pipe C is closed 6 minutes before the tank is filled. In what time will the tank be full?

(a) 4 min

(b) 6 min

(c) 5 min

(d) Data inadequate

(e) None of these



  1. A can do 50% more work as B can do in the same time. B alone can do a piece of work in 20 hours. A, with help of B, can finish the same work in how many hours?

(a) 12

(b) 8

(c) 13 1/3

(d) 5 ½

(e) 47 ½



  1. There are two taps to fill a tank while a third to empty it. When the third tap is closed, they can fill the tank in 10 minutes and 12 minutes, respectively. If all the three taps be opened, the tank is filled in 15 minutes. If the first two taps are closed, in what time can the third tap empty the tank when it is full?

(a) 8 min and 34 sec

(b) 9 min and 32 sec

(c) 7 min

(d) 6 min

(e) None of these




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

(b) 10 minutes

(c) 8 minutes

(d) 16 minutes

(e) 20 minutes



  1. Two taps can fill a tank in 20 minutes and 30 minutes respectively. There is an outlet tap at exactly half level of that rectangular tank which can pump out 50 litres of water per minute. If the outlet tap is open, then it takes 24 minutes to fill an empty tank. What is the volume of the tank?

(a) 1800 litres

(b) 1500 litres

(c) 1200 litres

(d) 2400 litres

(e) None of these



  1. 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 :

(a) 7 minutes

(b) 13 minutes

(c) 9 minutes

(d) 23 minutes

(e) 25 minutes



  1. Two pipes P and Q would fill a cistern in 24 and 32 minutes, respectively. Both pipes are kept open. When should the first pipe be turned off so that the cistern may be just filled in 16 minutes?

(a) After 10 minutes

(b) After 12 minutes

(c) After 14 minutes

(d) After 16 minutes

(e) None of these



  1. One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are open?

(a) 7 hours

(b) 6 hours

(c) 5 hours

(d) 8 hours

(e) None of these



  1. A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. The cistern can hold

(a) 7860 litres

(b) 6840 litres

(c) 8640 litres

(d) 8840 litres

(e) None of these



  1. If 15 men or 24 women or 36 boys can do a piece of work in 12 days, working 8 hours a day, how many men must be associated with 12 women and 6 boys to do another piece of work 2 ¼ times as great in 30 days working 6 hours a day?

(a) 4

(b) 8

(c) 6

(d) 10

(e) 12


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