mary runs 7 miles in 80 minutes. at the same rate, how many miles would she run in 64 minutes

To find out how many miles Mary would run in 64 minutes at the same rate, we first need to determine her running rate in miles per minute. Here's the step-by-step process:

1. **Calculate Mary's running rate:**

   Mary runs 7 miles in 80 minutes, so her rate \( r \) in miles per minute is:

   \[
   r = \frac{\text{miles}}{\text{minutes}} = \frac{7 \, \text{miles}}{80 \, \text{minutes}}
   \]

   \[
   r = \frac{7}{80} \, \text{miles per minute}
   \]

2. **Determine how many miles Mary would run in 64 minutes at the same rate:**

   To find the distance \( d \) she would run in 64 minutes, use the formula:

   \[
   d = r \times \text{time}
   \]

   Substituting the values:

   \[
   d = \left( \frac{7}{80} \right) \times 64
   \]

   \[
   d = \frac{7 \times 64}{80}
   \]

   \[
   d = \frac{448}{80}
   \]

3. **Simplify the fraction:**

   \[
   d = 5.6 \, \text{miles}
   \]

So, Mary would run **5.6 miles** in 64 minutes at the same rate.

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Would you like a detailed explanation or have any questions?

Here are 5 related questions that expand on this topic:

1. If Mary increased her speed by 10%, how many miles would she run in 80 minutes?
2. How long would it take Mary to run 10 miles at her current rate?
3. If Mary ran for 120 minutes at the same rate, how many miles would she cover?
4. What is Mary's speed in miles per hour?
5. If Mary ran half as fast, how far would she run in 64 minutes?

**Tip:** To find how long it takes to cover a certain distance at a given rate, use the formula \(\text{time} = \frac{\text{distance}}{\text{rate}}\).

Discover how to calculate the distance Mary would run in 64 minutes based on her rate of 7 miles in 80 minutes. Learn the formula Distance = Rate × Time and solve for the specific scenario. Suitable for Grades 5-6.

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