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A cistern can be filled with water by a pipe in 4 hours and second pipe can empty it in 5 hours. If both the pipes are opened simultaneously, Find the time in which Cistern will be filled?​​

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A cistern can be filled with water by a pipe in 4 hours and second pipe can empty it in 5 hours. If both the pipes are opened simultaneously, Find the time in which Cistern will be filled?​​


1). 12 hours
2). 14 hours
3). 16 hours
4). 20 hours


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1 answers

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Answered by on | Votes 1 |

Time taken by pipe 1 to fill = 4 hours

Time taken by pipe 2 to empty = 5 hours

Let capacity of cistern = LCM (4 and 5) = 20 units

Efficiency of pipe 1 = 20/4 = 5 units/hour

Efficiency of pipe 2 = 20/5 = –4 units/hour

Total Efficiency of pipe 1 and pipe 2 together = 5 – 4 = 1 unit/hour

⇒Total time taken to fill the cistern = 20/1= 20 hours

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