Core Connections: Course 2
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3. Section 4.3
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Exercise 79 Page 221

Use the conversion factor 1hour60minutes to move from minutes to hours.

6 611 miles per hour

Practice makes perfect

We know that Sammy ran 3 35 miles in 33 minutes. We want to determine his pace in miles per hour. We can do so in two steps.

  1. Convert 33 minutes into hours.
  2. Calculate Sammy's pace.

We can do these steps one at a time.

Convert Minutes Into Hours

We want to rewrite 33 minutes into hours. We can do so using a conversion factor 1hour60minutes to move from minutes to hours. 33minutes* 1hour/60minutes Now let's simplify our expression.

33minutes* 1hour/60minutes
33minutes* 1hour/60minutes
33 minutes* 1hour/60 minutes
33* 1hour/60
â–¼
Simplify
33* 1/60 hour
33/60 hour
11/20 hour
0.55 hour

Sammy ran 3 35 miles in 1120 hour, which can be also written as 0.55 hour.

Pace in Miles per Hour

We want to determine Sammy's pace in miles per hour. We can do so by dividing the distance Sammy run by the time of the run. Pace=Distance (miles)/Time (hours) Let's substitute 3 35 miles for the distance and 1120 hour for the time in our formula and simplify.

Pace=Distance (miles)/Time (hours)
Pace=3 35/1120
Pace=185/1120
Pace=18/5* 20/11
â–¼
Simplify
Pace=18* 20/5* 11
Pace=360/55
Pace=72/11
Pace=6 611

Sammy's pace is 6 611 miles per hour.