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ct answerA can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 2/35 2/36 1/35 1/3

Question

ct answerA can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 2/35 2/36 1/35 1/3

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Solution

The problem is about work rate.

Step 1: Find the work rate of A and B individually.

Work rate is calculated as 1 divided by the time it takes to complete the work.

So, the work rate of A is 1/12 work/day and the work rate of B is 1/15 work/day.

Step 2: Add the work rates of A and B to find their combined work rate.

The combined work rate of A and B is (1/12 + 1/15) work/day = 1/12 + 1/15 = 0.0833 + 0.0667 = 0.15 work/day.

Step 3: Find the time it takes for A and B to complete the work together.

The time it takes for A and B to complete the work together is 1 divided by their combined work rate.

So, the time it takes for A and B to complete the work together is 1/0.15 = 6.67 days.

Therefore, the time taken by A and B working together is approximately 6 2/3 days. So, the correct option is 6 2/3.

This problem has been solved

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