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A and B together can finish a job in 40 days. A can do the same job on her own in 60 days. How long will B take to do the threefourth of the same work all alone?
120 days
80 days
90 days
100 days
- A and B together complete the job in 40 days. Thus, their combined work rate is 1/40 of the job per day.
- A can finish the job alone in 60 days, indicating A's work rate is 1/60 of the job per day.
- To find B's work rate, subtract A's rate from the combined rate: (1/40) - (1/60) = (3/120) - (2/120) = 1/120.
- Therefore, B can finish the job alone in 120 days.
- To find how long B will take to complete three-fourths of the job, multiply 120 days by 3/4: 120 * (3/4) = 90 days.
- Correct Answer: 90 days
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