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L alone can do a work in 100 hours. M alone can do the same in 150 hours. L, M and N together can do the same work in 30 hours. In how many hours can N alone do the work?1). 652). 603). 404). 90 |
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Answer» Given, M’s 1 hour’s work = 1/150 Let N can complete work in n days. N’s 1 hour’s work = 1/n Given, (L + M + N)’s 1 hour’s work = 1/30 ⇒ 1/30 = (1/100) + (1/150) + (1/n) ⇒ 1/30 = 1/60 + 1/n ⇒ 1/n = 1/30 - 1/60 ⇒ 1/n = 1/60 ∴ N can complete work in 60 days. |
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