A takes 10 days, B takes 15 days. How many days if they work together?
Correct answer: A. 6
- A. 6
- B. 8
- C. 5
- D. 9
Explanation
To determine how many days A and B will take to complete the work together, calculate their individual work rates first. A completes 1/10 of the work in a day, and B completes 1/15 per day. Combined, their work rate is 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6. Hence, together, they can complete the work in 6 days. Other options are incorrect as they do not match the calculated rate: 8 days is too slow for their combined speed, 5 days is too fast, and 9 days is slower than A working alone.
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