Question : A and B can complete a work in 10 and 16 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in:
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Given, A and B can complete a piece of work in 10 and 16 days, respectively.
Work done by A in a day =
Work done by B in a day =
⇒ Work done by A and B in 2 days if they work alternatively =
⇒ Work done by A and B in 12 days if they work alternatively =
⇒ Work left after 12 days =
⇒ Time taken by A to complete remaining work =
Hence, the correct answer is
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