Irena is training for an upcoming triathlon and plans to run 12 miles miles today. Jorge offered to ride his bicycle to help her maintain her pace. If Irena wants to keep a steady pace of 6.5 minutes per mile, how fast should Jorge ride in miles per hour?
1mi/6.5min * 60min/hr = 9.23mi/hr
To calculate how fast Jorge should ride his bicycle in miles per hour, we need to consider Irena's desired pace and the total distance she wants to run.
First, we need to determine the total time Irena would take to run 12 miles at a steady pace of 6.5 minutes per mile. We can multiply the number of miles by the time taken per mile:
Total time = 12 miles * 6.5 minutes/mile
Calculating this, we find that Irena would take 78 minutes to complete her run.
Now that we know the total time, we can figure out how fast Jorge needs to ride to keep up with Irena. We'll need to convert Irena's time from minutes to hours since we are calculating Jorge's speed in miles per hour.
Total time in hours = Total time in minutes / 60
For Irena's case:
Total time in hours = 78 minutes / 60
Thus, the total time Irena will take to run 12 miles is 1.3 hours.
Now, to calculate the speed at which Jorge should ride his bicycle (in miles per hour), we divide the total distance by the total time:
Jorge's speed = 12 miles / 1.3 hours
Which simplifies to:
Jorge's speed = 9.23 miles/hour
Therefore, Jorge should ride at a speed of approximately 9.23 miles per hour to help Irena maintain her desired pace of 6.5 minutes per mile.