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A can complete a work in 12 days, B in 15 days. If A started two days later, in comparison to B.Options7 7/97 5/97 4/97 8/9

Question

A can complete a work in 12 days, B in 15 days. If A started two days later, in comparison to B.Options7 7/97 5/97 4/97 8/9

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Solution

The problem is about work rate and time. Here are the steps to solve it:

  1. First, we need to find the rate of work for A and B. A can complete the work in 12 days, so A's work rate is 1/12 of the work per day. Similarly, B can complete the work in 15 days, so B's work rate is 1/15 of the work per day.

  2. Since A started two days later than B, B worked alone for two days. In these two days, B can complete 2*(1/15) = 2/15 of the work.

  3. The remaining work is 1 - 2/15 = 13/15.

  4. Now, A and B work together to complete the remaining work. Their combined work rate is (1/12 + 1/15) = 9/60 + 4/60 = 13/60 of the work per day.

  5. To find out how many days they need to complete the remaining work, we divide the remaining work by their combined work rate: (13/15) / (13/60) = 60/15 = 4 days.

  6. So, the total time to complete the work is 2 days (B worked alone) + 4 days (A and B worked together) = 6 days.

Therefore, the answer is 6 days. However, this answer is not in the provided options. Could you please check the problem or the options again?

This problem has been solved

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