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Y can complete a job half as fast as X and twice as fast as Z,X,Y and Z takes 8 days to complete it. In how many days can Y alone complete it?A. 21B. 28C. 35D. 42 |
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Answer» Correct Answer - B Let the time taken by Y to complete the work be y days. Let the times taken by X and Z to complete it be x days and z days respectively. `(1)/(y)=(1)/(2)((1)/(x))=2((1)/(z))` `(1)/(y)=(1)/(2x) implies(1)/(x)=(2)/(y)` `(1)/(y)=2(1)/(z)implies(1)/(z)=(1)/(2y)` `(1)/(x)+(1)/(y)+(1)/(z)=(1)/(8)` `(2)/(y)+(1)/(y)+(1)/(2y)=(1)/(8)` `(7)/(2y)=(1)/(8)` y=28 |
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