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Question 59
A and B can complete a task in 40 days and 16 days respectively. A started the task alone and then after 12 days B joined him till the completion of the task. How long did the task last after B joined the task?
Solution
Let the total work be 80 units (LCM of 40 and 16)
Efficiency of A = 80/40 = 2 units/day
Efficiency of B = 80/16 = 5 units/day
A alone worked for 12 days.
Work completed by A = 2*12 = 24 units
Remaining work = 80-24 = 56 units
56 units will be completed by A and B together in 56/7 = 8 days.
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