Question
A can do a job in 24 days, while B can do the same job
in 30 days. They started the work together, but A left after 6 days. In how many more days will B finish the remaining work?Solution
Work done by A and B in 1 day = 1/24 + 1/30 = 5/120 + 4/120 = 9/120 = 3/40. Work done in 6 days = 6 × 3/40 = 18/40 = 9/20. Remaining work = 1 - 9/20 = 11/20. Time taken by B to complete the remaining work = (11/20) ÷ (1/30) = 11/20 × 30/1 = 330/20 = 16.5 days. Correct answer: a) 16.5 days
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