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A can do a work in 36 days and B in 32 days. If they work on it together for 12 days, then what fraction of work is left?Options7/24134557/7211933

Question

A can do a work in 36 days and B in 32 days. If they work on it together for 12 days, then what fraction of work is left?Options7/24134557/7211933

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Solution

Sure, let's solve this step by step:

  1. First, we need to find out how much work A and B can do in a day. A can finish the work in 36 days, so A can do 1/36 of the work in a day. B can finish the work in 32 days, so B can do 1/32 of the work in a day.

  2. If they work together, we need to add up the work they can do in a day. So, A and B together can do (1/36 + 1/32) of the work in a day.

  3. To simplify this, find a common denominator for 36 and 32, which is 288. So, A and B together can do (8/288 + 9/288) = 17/288 of the work in a day.

  4. If they work together for 12 days, they can do (17/288 * 12) = 204/288 = 0.708333 of the work.

  5. Since the total work is 1, the fraction of work left is (1 - 0.708333) = 0.291667.

So, the fraction of work left is approximately 7/24.

This problem has been solved

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