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11. Time and Work
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Q26 of 28 Page 11

A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?

Given,


A pipe can fill a cistern in = 10 hours


Due to leakage it get filled in = 12 hours


∵ Without leakage work done by pipe in 1 hour =


∵ With leakage work done by pipe in 1 hour =


∴ Work done by leakage in 1 hour =


Hence, the cistern will be emptied by leakage in =


More from this chapter

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24

A cistern can be filled by one tap in 8 hours, and by another in 4 hours. How long will it take to fill the cistern if both taps are opened together?

25

Two taps A and B can fill an overhead tank in 10 hours and 15 hours respectively. Both the taps are opened for 4 hours and then B is turned off. How much time will A take to fill the remaining tank?

27

A cistern has two inlets A and B which can fill it in 12 hours and 15 hours respectively. An outlet can empty the full cistern in 10 hours. If all the three pipes are opened together in the empty cistern, how much time will they take to fill the cistern completely?

28

A cistern can be filled by a tap in 4 hours and emptied by an outlet pipe in 6 hours. How long will it take to fill the cistern if both the tap and the pipe are opened together?

Questions · 28
11. Time and Work
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