Steve can run 3.5 miles in 30 minutes. If Steve increases his rate by 1/2 mile per hour, how far will he run in 2 hours?
7.5 * 2 = ?
To find out how far Steve will run in 2 hours, we need to first calculate his new running rate per hour.
Steve currently runs 3.5 miles in 30 minutes, which is equal to 0.5 hours (30 minutes ÷ 60 minutes).
Therefore, Steve's current running rate per hour is 3.5 miles ÷ 0.5 hours = 7 miles per hour.
Since Steve increases his rate by 1/2 mile per hour, his new running rate per hour is 7 miles per hour + 1/2 mile per hour = 7.5 miles per hour.
Now, we can calculate how far Steve will run in 2 hours using his new rate:
Distance = Speed × Time
Distance = 7.5 miles per hour × 2 hours
Distance = 15 miles
Therefore, Steve will run 15 miles in 2 hours.
To find out how far Steve will run in 2 hours, we need to calculate his speed in miles per hour.
Currently, Steve can run 3.5 miles in 30 minutes. To convert this into miles per hour, we need to find out how many miles he can run in an hour. Since there are 60 minutes in an hour, we can establish a ratio:
3.5 miles : 30 minutes = x miles : 60 minutes
By cross-multiplying and solving for x, we can determine that Steve can run 7 miles in 60 minutes, or 1 hour.
Now, we know that Steve's current speed is 7 miles per hour. If he increases his rate by 1/2 mile per hour, his new speed will be 7 + 1/2 = 7.5 miles per hour.
To find out how far Steve will run in 2 hours at this new speed, we simply multiply the speed by the time:
7.5 miles/hour × 2 hours = 15 miles
Therefore, Steve will run 15 miles in 2 hours.