Question
A, B, and C can finish a work in 12, 15, and 20 days,
respectively. They all start working together, but A leaves after 4 days, and B leaves after 1 more days. How much longer will C take to finish the remaining work?Solution
Work done by A in 4 days = 4 / 12 = 1/3. Work done by B in 5 days = 5 / 15 = 1/3. Total work done by A and B = 1/3 + 1/3 = 2/3. Remaining work = 1 - 2/3 = 1/3. Work done by C per day = 1/20. Time taken by C to finish 1/3 work = (1/3) / (1/20) = 20 / 3 = 6.67 days But since 5 days he was working with them, which means he will take extra = 6.67 – 5 = 1.67 days Correct answer: a) 1.67 days.
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