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Select the correct answerA can complete a work in 12 days, B in 15 days. When A and B worked alternatively, when started byOptions13 1/4days12 1/4days14 1/4days12 3/4daysFinish ClearPrev Next (1)

Question

Select the correct answerA can complete a work in 12 days, B in 15 days. When A and B worked alternatively, when started byOptions13 1/4days12 1/4days14 1/4days12 3/4daysFinish ClearPrev Next (1)

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Solution

To solve this problem, we first need to find out how much work A and B can do in a day.

  1. A can complete the work in 12 days. So, the work done by A in 1 day is 1/12.
  2. B can complete the work in 15 days. So, the work done by B in 1 day is 1/15.

Now, let's find out how much work they can do when they work alternatively.

  1. In two days (one day A and one day B), they can do (1/12 + 1/15) work. This simplifies to 9/60 or 3/20 of the work.

  2. To complete the whole work (1), they will need (1 / (3/20)) * 2 days. This simplifies to 20/3 * 2 = 40/3 = 13 1/3 days.

So, the correct answer is 13 1/4 days.

This problem has been solved

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