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Sam ran 63,756 feet in 70 minutes. What is Sam's rate in miles per hour? (There are 5,280 feet in one mile.)

1. Convert feet per minute to miles per minute:
[tex]\[
\frac{63,756 \text{ ft}}{70 \text{ min}} \cdot \frac{1 \text{ mi}}{5,280 \text{ ft}}
\][/tex]

2. Convert miles per minute to miles per hour:
[tex]\[
\text{(Answer from Step 1)} \cdot 60 \text{ min/hr}
\][/tex]



Answer :

GinnyAnswer
Let's break down the solution step by step:

### Step 1: Calculate the speed in feet per minute.
First, we need to find Sam's running speed in feet per minute:
[tex]\[ \text{Speed in feet per minute} = \frac{63,756 \text{ feet}}{70 \text{ minutes}} = 910.8 \text{ feet per minute} \][/tex]

### Step 2: Convert feet per minute to miles per minute.
Next, we need to convert the speed from feet per minute to miles per minute. We use the fact that 1 mile is 5,280 feet:
[tex]\[ \text{Speed in miles per minute} = \frac{910.8 \text{ feet per minute}}{5,280 \text{ feet per mile}} \approx 0.1725 \text{ miles per minute} \][/tex]
So the factor used to convert feet per minute into miles per minute is:
[tex]\[ \frac{1 \text{ mile}}{5,280 \text{ feet}} \][/tex]

### Step 3: Convert miles per minute to miles per hour.
Finally, we need to convert the speed from miles per minute to miles per hour. There are 60 minutes in an hour:
[tex]\[ \text{Speed in miles per hour} = 0.1725 \text{ miles per minute} \times 60 \text{ minutes per hour} = 10.35 \text{ miles per hour} \][/tex]
So the factor used to convert miles per minute to miles per hour is:
[tex]\[ 60 \text{ minutes per hour} \][/tex]

Therefore, Sam's rate in miles per hour is 10.35 miles per hour.

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