Question 59

A alone can complete a work in 6 days and B alone can complete the same work in 8 days. In how many days both A and B together can complete the same work?

Let the total work be 24 units.
Efficiency of A = 24/6 = 4 units per day
Efficiency of B = 24/8 = 3 units per day
Total efficiency of A and B together = 7 units per day
Then, 24 units can be completed by A and B together in $$\dfrac{24}{7}$$ days

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