Pregunta
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Rachel is planning to run an average of 6.4 miles over three consecutive days. On the
first day, she ran 6.6 miles, and on the second day, she ran 6.5 miles. What is the
maximum number of miles Rachel can run on the third day without going over the
planned average of 6.4 miles per day?

Ask by Barker Mccoy. in the United States
Jan 31,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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Rachel can run a maximum of 6.1 miles on the third day to stay within her planned average of 6.4 miles per day.

Solución

To determine the maximum number of miles Rachel can run on the third day without exceeding her planned average, follow these steps:
  1. Calculate the Total Planned Miles:
    Rachel plans to run an average of 6.4 miles per day over three days.
  2. Sum the Miles Run on the First Two Days:
    • First Day: 6.6 miles
    • Second Day: 6.5 miles
  3. Determine the Remaining Miles for the Third Day:
  4. Conclusion:
    Rachel can run up to 6.1 miles on the third day to maintain her planned average of 6.4 miles per day.
Answer: Rachel can run a maximum of 6.1 miles on the third day without exceeding her planned average.

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Extra Insights

To find the maximum number of miles Rachel can run on the third day while keeping her average at 6.4 miles, we first need to calculate the total distance she must run over three days. The average of 6.4 miles per day over three days means she must run a total of:
6.4 miles/day × 3 days = 19.2 miles.
Now, we add the distances Rachel has already run on the first two days:
Day 1: 6.6 miles
Day 2: 6.5 miles
Total for the first two days: 6.6 + 6.5 = 13.1 miles.
Now, to find out how many miles she can run on the third day and stay within the average, we subtract the distance she has already run from the total required distance:
19.2 miles - 13.1 miles = 6.1 miles.
Therefore, Rachel can run a maximum of 6.1 miles on the third day.

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