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 Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?

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 Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?

A). 20 hours 30 min

B). 24 hours

C). 18 hours 30 min

D). 16 hours


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Answered by on | Votes 0 |

20 hours 30 min



1/18 + 1/24 = 7/72

72/7 = 10 2/7

7/72 * 10 = 35/36 ----- 20 hours

WR = 1 – 35/36 = 1/36

1 h ----- 1/18

? ----- 1/36 = 1/2 hours

=> 20 1/2 hours  

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