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Select the correct answerA can do 7/8 of work in 28 days, B can do 5/6 of the same work in 20 days. The number of days they will take to complete if they do it together is?Options15 7/3 days14 5/7 days13 5/7 days17 3/5 days

Question

Select the correct answerA can do 7/8 of work in 28 days, B can do 5/6 of the same work in 20 days. The number of days they will take to complete if they do it together is?Options15 7/3 days14 5/7 days13 5/7 days17 3/5 days

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Solution

To solve this problem, we first need to find out how many days A and B would take to complete the work individually.

  1. For A, if 7/8 of the work takes 28 days, then the whole work would take 28/(7/8) = 32 days.

  2. For B, if 5/6 of the work takes 20 days, then the whole work would take 20/(5/6) = 24 days.

Now, we know that A can complete the work in 32 days and B can complete the work in 24 days.

The combined rate of A and B working together is the sum of their individual rates.

The rate of A is 1/32 work per day and the rate of B is 1/24 work per day.

So, the combined rate is 1/32 + 1/24 = 7/192 work per day.

Therefore, the time they would take to complete the work together is the total work divided by their combined rate, which is 1/(7/192) = 192/7 = 27.43 days.

However, none of the options match this result. There might be a mistake in the problem or the options provided.

This problem has been solved

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