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X, Y and Z can do a piece of work in 60, 90 and 180 days respectively. In how many days X can do the work if he is assisted by Y and Z on every third day?1). 452). 153). 754). 60 |
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Answer» X can complete the work in = 60 days ∴ X’s 1 day’s work = 1/60 Y can complete the work in = 90 days ∴ Y’s 1 day’s work = 1/90 Z can complete the work in = 180 days ∴ Z’s 1 day’s work = 1/180 X completes 1/30 work in 2 days. ∴ (X + Y + Z)’s 3rd day work, ⇒ 1/60 + 1/90 + 1/180 ⇒ 6/180 ⇒ 1/30 (X + Y + Z) can do 1/30 + 1/30 work in 3 days = 1/15 ∴ They can complete the work in = 15 × 3 = 45 days |
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