A and B can complete a work in 10 and 15 days respectively each. How long will it take to finish the work when they work on alternate days?
Explanation:
1 day’s work of A = 1/10 and that of B = 1/15.
Since they work on alternate days, they would work in cycles of 2 days.
Work done by (A + B) in 1 cycle of two days = 1/10 + 1/15 = 1/6.
Hence, they take 1/(1/6) = 6 cycles to complete the work.
Therefore, they would finish the work in 6 × 2 = 12 days
Hence, option (b).
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