James knows that when he walks, he takes about 120 steps per minute and that each step is 2.75 feet long. Which calculations is most reasonable for James to use to find out his walking speed in miles per hour?
1 minute . 120 steps . 2.75 feet . 5,280 feet . 1 mile . 60 minutes
120 steps . 1 minute . 2.75 feet . 1 step . 5,280 feet . 1 mile . 60 minutes
120 steps . 2.75 feet . 1 mile . 60 minutes . 1 minute . 5,280 feet . 1 hour
120 steps . 1 minute . 2.75 feet . 1 step . 5,280 feet . 1 mile . 60 minutes
To find James’s walking speed in miles per hour, we need to calculate how far he travels in one hour. The first step is to calculate the distance he covers in one minute and then convert that to miles per hour.
1. Steps per minute: 120 steps
2. Distance per step: 2.75 feet
First, calculate the distance covered in one minute:
– Distance in one minute = 120 steps × 2.75 feet/step = 330 feet.
Next, calculate the distance covered in one hour (60 minutes):
– Distance in one hour = 330 feet/minute × 60 minutes = 19,800 feet.
Now, convert feet to miles:
– Since 1 mile = 5,280 feet, we can find miles by dividing the total feet by the number of feet in a mile:
– 19,800 feet ÷ 5,280 feet/mile = 3.75 miles.
Since we’re looking for the most reasonable calculation, the correct choice is:
120 steps . 1 minute . 2.75 feet . 5,280 feet . 1 mile . 60 minutes.
This calculation clearly lays out the relationship between steps, distance per step, time in minutes and hours, and the conversion to miles.