A can do a work in 12 days. B in 8 days. Together they take?
Correct answer: A. 4.8 days
- A. 4.8 days
- B. 5 days
- C. 6 days
- D. 7 days
Explanation
To solve this problem, calculate the rate of work for each person: A's rate is 1/12 of the work per day, and B's rate is 1/8 of the work per day. Combined, their rate is 1/12 + 1/8 = 5/24 of the work per day. To find the time it takes for them to complete one unit of work together, take the reciprocal of their combined rate: 24/5 = 4.8 days. This shows the correct option is 4.8 days. Each incorrect option represents a misunderstanding, such as rounding errors or incorrect assumptions about the combined rate.
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