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Select the correct answerA can complete 1/3 of a work in 5 days and B, 2/5 of the work in 10 days. In how many days both A and B together can complete the work?Options7 1/2days9 3/8 days10 days8 4/5days

Question

Select the correct answerA can complete 1/3 of a work in 5 days and B, 2/5 of the work in 10 days. In how many days both A and B together can complete the work?Options7 1/2days9 3/8 days10 days8 4/5days

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Solution

Sure, let's solve this step by step:

  1. First, we need to find out how many days A and B would take to complete the work individually.

  2. A can complete 1/3 of the work in 5 days, so he will take 5 * 3 = 15 days to complete the whole work.

  3. B can complete 2/5 of the work in 10 days, so he will take 10 * 5/2 = 25 days to complete the whole work.

  4. Now, we need to find out how much work A and B can do in one day.

  5. A can do 1/15 of the work in one day and B can do 1/25 of the work in one day.

  6. Together, A and B can do 1/15 + 1/25 = 8/75 of the work in one day.

  7. Therefore, A and B will take 75/8 = 9 3/8 days to complete the work together.

So, the correct answer is 9 3/8 days.

This problem has been solved

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