A farmer plows a field in 6 days using one tractor. A second tractor with 75% the capacity is added. Time to complete the field now?
Correct answer: C. 3.6
- A. 3.2
- B. 3.4
- C. 3.6
- D. 4
Explanation
The first tractor can plow the field in 6 days, giving it a work rate of 1/6 of the field per day. The second tractor has 75% of this capacity, resulting in a work rate of 1/8 of the field per day. Together, their combined work rate is 1/6 + 1/8 = 7/24 of the field per day. To find the total time to plow the field, calculate the reciprocal of the combined rate: 1 / (7/24) = 24/7, which is approximately 3.43 days. The closest approximation from the given options is 3.6 days, making Option C correct. Options A, B, and D do not accurately account for the combined work rate of the two tractors.
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