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P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?1). 60/112). 61/113). 71/114). 72/11 |
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Answer» P can complete the work in (12 × 8)hrs. = 96 hrs. Q can complete the work in (8 × 10)hrs. = 80 hrs. P's 1 hour's work = 1/96 Q's 1 hour's work = 1/80 (P + Q)'s 1 hour's work ⇒ 1/96 + 1/80 = 11/480 So, both P and Q will finish the work in (480/11) hrs. Number of days of 8 hours each = (480/11 × 1/8) = 60/11 days |
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