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 A and B working saperately can do a piece of work in 12 and 18 hours respectively. If they work for 6 hour alternately with B beginning, in how many hours will the work be completed?

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 A and B working saperately can do a piece of work in 12 and 18 hours respectively. If they work for 6 hour alternately with B beginning, in how many hours will the work be completed?

A). 9 hours

B). 15 hours

C). 13 ½ hours

D). 12 ½  hours


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Answered by on | Votes 0 |

15 hours



A and B 2 hours work = 1/12 + 1/18 = 5/36
work done by A and B during 6 pairs
i.e 12 hours = 6  * 5/36 = 5/6
Remaining work = 1 – 5/6 = 1/6
1/6 of work and this work done by B only = 18* 1/6 = 3 hours
Hence the total time take is

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