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Select the correct answerA 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

Select the correct answerA 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. This is done by taking the reciprocal of the total days they need to complete the work. So, A can do 1/36 of the work in a day and B can do 1/32 of the work in a day.

  2. If they work together, we can add up the fractions of 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, we need to find a common denominator. The least common multiple of 36 and 32 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. The fraction of work left would be 1 - 0.708333 = 0.291667.

  6. To convert this decimal into a fraction, we can say that approximately 29/100 of the work is left.

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

This problem has been solved

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