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X, Y and Z can do a piece of work in 15, 12 and 30 days, respectively. They started working togethebut Y left after 2 days. In what time will the remaining work be completed by X and Z? |
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Answer» Answer: 6 1/3 days Step-by-step explanation: In 1 day, fraction of WORK done by X=1/15 Y = 1/12 Z = 1/30 1 1 1 11 X+Y+Z = __+__+___ = __ 15 12 30 60 1 1 1 X+Z = ___+___ = __ 15 30 10 X+Y+Z 1 day work is 11/60 work done by them in 2 days is 2×(11/60) = 11/30 work remaining =1- (11/30) =19/30 X+Z does 1/10 of work in ONE day X+Z does 19/30 of work in 19/3 days = 6 1/3 days hope this is helpful
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