Question
Person A can finish a task alone in 22(3/5) days, while
Person B can complete the same task alone in 14(1/8) days. If A and B collaborate on the task, how many days will it take for them to finish it together?Solution
22(3/5) = 113/5 14(1/8) = 113/8 Let total work = 1 unit So, efficiency of 'A' = (5/113) units/day Efficiency of 'B' = (8/113) units/day So, combined efficiency of 'A' and 'B 5/113 + 8/113 = 13/113Â units/day So, time taken by 'A' and 'B' together to finish the work = (113/13) = 8(9/13)Â days
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