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X-can-finish-a-work-in-15-days-at-8hrs-a-day-Y-can-finish-it-in-6-2-3-days-at-9-hrs-a-day-Find-in-how-many-days-X-and-Y-can-finish-it-working-together-10-hrs-a-day-




Question Number 46891 by shivshant0409 last updated on 02/Nov/18
X can finish a work in 15 days at 8hrs.  a day. Y can finish it in 6(2/3) days at  9 hrs. a day. Find in how many days  X and Y can finish it working together   10 hrs. a day?
Xcanfinishaworkin15daysat8hrs.aday.Ycanfinishitin623daysat9hrs.aday.FindinhowmanydaysXandYcanfinishitworkingtogether10hrs.aday?
Answered by MJS last updated on 02/Nov/18
X makes (1/(120))work per hour  Y makes (1/(60))work per hour  X+Y make ((1/(120))+(1/(60)))work per hour =  =(1/(40))work per hour ⇒ they′re finished after  40 hours = 4 days at 10 hours a day
Xmakes1120workperhourYmakes160workperhourX+Ymake(1120+160)workperhour==140workperhourtheyrefinishedafter40hours=4daysat10hoursaday

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