Question
A and B together can finish a work in 10 days. Their
rates of working are in the ratio 2 : 3. In how many days can each of them finish the work alone?Solution
Let A’s 1-day work = 2k and B’s 1-day work = 3k Total 1-day work = 2k + 3k = 5k = 1/10 So 5k = 1/10 ⇒ k = 1/50 A’s 1-day work = 2k = 2/50 = 1/25 So A alone takes 25 days. B’s 1-day work = 3k = 3/50 So B alone takes 50/3 days
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