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Select the correct answerA can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half the job?Options40/7 days7/2 days9/2 days24/7 days

Question

Select the correct answerA can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half the job?Options40/7 days7/2 days9/2 days24/7 days

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Solution

Sure, let's solve this step by step.

  1. First, let's find out how many days A would take to complete the whole job. If A can do 75% of the job in 9 days, then he would take (9 / 0.75) = 12 days to complete the whole job.

  2. Similarly, if B can do half of the job in 8 days, then he would take (8 / 0.5) = 16 days to complete the whole job.

  3. Now, if A and B work together, their combined rate of work would be (1/12 + 1/16) = 7/48 of the job per day.

  4. Therefore, to do half the job, they would take (0.5 / 7/48) = 48/14 = 24/7 days.

So, the correct answer is 24/7 days.

This problem has been solved

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