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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 byOptions12 1/4days14 1/4days12 3/4days13 1/4days

Question

Select the correct answerA can complete a work in 12 days, B in 15 days. When A and B worked alternatively, when started byOptions12 1/4days14 1/4days12 3/4days13 1/4days

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Solution

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

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

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

  1. In the first day, A works and completes 1/12 of the work.
  2. In the second day, B works and completes 1/15 of the work.

So, in two days, they complete 1/12 + 1/15 = 9/60 + 4/60 = 13/60 of the work.

This means that they will complete the work in (60/13) * 2 = 120/13 = 9 7/13 days when they work alternatively.

However, since A starts the work, A will work on the 10th day. So, the work will be completed in 10 - (1 - (1/12)) = 10 - 11/12 = 9 1/12 days.

So, none of the options provided are correct. The work will be completed in 9 1/12 days when A and B work alternatively starting with A.

This problem has been solved

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