QuestionAugust 26, 2025

8) Working alone, Eduardo can harvest a field in 14 hours. One day his friend Amy helped him and it only took 7.47 hours. How long would it take Amy to do it alone?

8) Working alone, Eduardo can harvest a field in 14 hours. One day his friend Amy helped him and it only took 7.47 hours. How long would it take Amy to do it alone?
8) Working alone, Eduardo can harvest a field
in 14 hours. One day his friend Amy
helped him and it only took 7.47 hours.
How long would it take Amy to do it
alone?

Solution
4.5(268 votes)

Answer

17 hours Explanation 1. Determine Eduardo's rate Eduardo can complete \frac{1}{14} of the field per hour. 2. Determine combined rate Together, they complete \frac{1}{7.47} of the field per hour. 3. Calculate Amy's rate Amy's rate is the combined rate minus Eduardo's rate: \frac{1}{7.47} - \frac{1}{14}. 4. Solve for Amy's time Amy's time to complete the field alone is the reciprocal of her rate: \frac{1}{\left(\frac{1}{7.47} - \frac{1}{14}\right)}.

Explanation

1. Determine Eduardo's rate<br /> Eduardo can complete $\frac{1}{14}$ of the field per hour.<br /><br />2. Determine combined rate<br /> Together, they complete $\frac{1}{7.47}$ of the field per hour.<br /><br />3. Calculate Amy's rate<br /> Amy's rate is the combined rate minus Eduardo's rate: $\frac{1}{7.47} - \frac{1}{14}$.<br /><br />4. Solve for Amy's time<br /> Amy's time to complete the field alone is the reciprocal of her rate: $\frac{1}{\left(\frac{1}{7.47} - \frac{1}{14}\right)}$.
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