Question
A company hires workers A, B, and C to finish a project.
A can complete the project in 30 days, B can do it in 24 days, and C can complete it in 20 days. They start working together, but after 5 days, A leaves. How many more days will B and C together take to finish the remaining work?Solution
Work done by A, B, and C in 1 day = 1/30 + 1/24 + 1/20 = 4/120 + 5/120 + 6/120 = 15/120 = 1/8 of the project per day. Work completed by all in 5 days = 5 × 1/8 = 5/8 of the project. Remaining work = 1 - 5/8 = 3/8 of the project. Work done by B and C together in 1 day = 1/24 + 1/20 = 5/120 + 6/120 = 11/120 of the project per day. Time taken by B and C to finish the remaining 3/8 work = (3/8) ÷ (11/120) = 3/8 × 120/11 = 45/11 = 4.09 days.= 4 days(approx)
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