Question
Individuals 'A', 'B', and 'C' can complete a certain
task independently in 3, 4, and 6 days respectively. If they collaborate on the task, how many days will it take them to finish it together?Solution
Let the total work be {LCM of 3, 4, and 6} 12 units Efficiency of 'A' = (12/3) = 4 units/day Efficiency of 'B' = (12/4) = 3 units/day Efficiency of 'C' = (12/6) = 2 units/day Sum of the efficiency's 'A', 'B', and 'C' = (4 + 3 + 2) = 9 units/day Required time taken = (12/9) = (4/3) days
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