A 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
A 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
Solution
To solve this problem, we first need to find out how much of the job each person can do in one day.
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A can do 75% of the job in 9 days, so in one day, A can do 75/9 = 8.33% of the job.
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B can do half (50%) of the job in 8 days, so in one day, B can do 50/8 = 6.25% of the job.
When A and B work together, they can do 8.33% + 6.25% = 14.58% of the job in one day.
We want to find out how many days they need to do half (50%) of the job. So we divide 50 by 14.58 and get approximately 3.43 days.
Therefore, the closest answer is 7/2 days.
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