A can finish the work in 40 days and B in 30 days. They both work together for 5 days and then B leaves. How many days will A take to complete the remaining work?
A’s one day work = 1/40 B’s one day work = 1/30 (A + B)’s one day work = (1/40 + 1/30) = (3 + 4)/120 = 7/120 (A + B)’s 5 days work = (7/120) × 5 = 7/24 Remaining work = 1 – 7/24 = 17/24 Remaining work will be completed by A in = (17/24) × 40 = 28(1/3) days
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