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X and Y can complete a work in 5 days. Y and Z can complete the same work in 6 days. Z and X can complete the same work in 15/2 days. In how many days will X, Y and Z together complete the work?1). 22). 43). 34). 2/5 |
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Answer» Time taken by X + Y to COMPLETE a work = 5 DAYS Time taken by Y + Z to complete a work = 6 days Time taken by Z + X to complete a work = 15/2 days Total work = LCM of (5, 6 and 15/2) = 30 units Efficiency of X + Y together = 30/5 = 6 units/day Efficiency of Y + Z together = 30/6 = 5 units/day Efficiency of Z + X together = 30/(15/2) = 4 units/day Efficiency of X + Y + Z together = 2(X + Y + Z) = 6 + 5 + 4 = 15 units/day X + Y + Z = 15/2 = 7.5 units/day ∴ Total time taken by X + Y + Z together to complete the work = 30/7.5 = 4 days |
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