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Select the correct answerA can do a certain work in 12 days. B is 60% more efficient than A. How many days will B and A together take to do the same job?Options80/13 days75/13 days60/13 days70/13 days

Question

Select the correct answerA can do a certain work in 12 days. B is 60% more efficient than A. How many days will B and A together take to do the same job?Options80/13 days75/13 days60/13 days70/13 days

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Solution

Sure, let's solve this step by step:

  1. A can do a certain work in 12 days. This means the rate of A is 1/12 work per day.

  2. B is 60% more efficient than A. This means B can do 1.6 times the work A does in a day. So, the rate of B is 1.6/12 = 0.1333 work per day.

  3. To find out how many days A and B together will take to do the same job, we need to add their rates of work and then divide 1 (the whole work) by the sum of their rates.

  4. The rate of A and B together is 1/12 + 0.1333 = 0.2167 work per day.

  5. Therefore, A and B together will take 1/0.2167 = 4.6154 days to do the same job.

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

This problem has been solved

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