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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.)

Step 1: What is Sam's rate as stated?

Step 2: What factor is used to convert feet per minute into miles per minute?

Step 3: What factor is used to convert miles per minute to miles per hour?

Step 4: Calculate the result:

63,756 • 60
70 • 5,280
= miles / hour
$$= \frac {63,756 \text { ft}} {70 \text { min}}$$
$$= \frac {63,756 \text { ft}} {70 \text { min}}$$
$$= \frac {63,756 \text { ft}} {70 \text { min}}$$
$$= \frac {63,756 {\text { ft}}} {70 \text { min}} \cdot \frac {1 \text { mi}} {5,280 { \text { ft}}}$$
$$= \frac {63,756 {\text { ft}}} {70 \text { min}} \cdot \frac {1 \text { mi}} {5,280 { \text { ft}}}$$
$$= \frac {63,756 {\text { ft}}} {70 \text { min}} \cdot \frac {1 \text { mi}} {5,280 { \text { ft}}}$$
$$= \frac {63,756 { \text { ft}}} {70 {\text { min}}} \cdot \frac {1 \text { mi}} {5,280 {\text { ft}}} \cdot \frac {60 {\text { min}}} {1 \text { hr}} $$
$$= \frac {63,756 { \text { ft}}} {70 {\text { min}}} \cdot \frac {1 \text { mi}} {5,280 {\text { ft}}} \cdot \frac {60 {\text { min}}} {1 \text { hr}} $$
$$= \frac {63,756 { \text { ft}}} {70 {\text { min}}} \cdot \frac {1 \text { mi}} {5,280 {\text { ft}}} \cdot \frac {60 {\text { min}}} {1 \text { hr}} $$
$$ = 10.35 \frac {\text{mi}}{\text{hr}} $$