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A and B working separately can do a piece of work in 10 days and 15 days respectively. If they work on alternate days beginning with A, in how many days will the work be completed?
1. 14
2. 12
3. 16
4. 10

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Correct Answer - Option 2 : 12

Given:

A and B working separately can do a piece of work in 10 days and 15 days respectively.

Calculations:

Time taken by A to complete the work = 10 days 

so part of work done by A in 1 day = 1/10

similarly, part of work done by B in 1 day = 1/15

work done by (A + B) in 2 days = (1/10 + 1/15) = 1/6

Work done by (A + B) in one day = 1/12

Time taken by (A + B) to complete the work = 12 days 

∴ the correct answer is 12 days.

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