You train for A race by running at a speed of 6 mph.
A) At this speed, how many minutes does it take for you to run 3.2 miles?
B) on race day, you run 3.2 miles in 30 minutes. What is your speed in miles per hour?
6 miles in 60 minutes = 0.1 miles/min
3.2 miles ( 1 min/0.1 miles ) = 32 minutea
30 min is half an hour so times two
6.4 miles/hour
A) To find the number of minutes it takes to run 3.2 miles at a speed of 6 mph, we can use the formula:
Time = Distance / Speed
Plugging in the values, we get:
Time = 3.2 miles / 6 mph
To convert this into minutes, we multiply by 60 minutes per hour:
Time = (3.2 miles / 6 mph) * (60 minutes / 1 hour)
Calculating this expression, we get:
Time = (3.2 * 60) / 6 = 32 minutes
Therefore, it will take 32 minutes to run 3.2 miles at a speed of 6 mph.
B) To find the speed in miles per hour when running 3.2 miles in 30 minutes, we can use the formula:
Speed = Distance / Time
Plugging in the values, we get:
Speed = 3.2 miles / 30 minutes
To convert this into miles per hour, we multiply by 60 minutes per hour:
Speed = (3.2 miles / 30 minutes) * (60 minutes / 1 hour)
Calculating this expression, we get:
Speed = (3.2 * 60) / 30 = 6.4 mph
Therefore, the speed you ran on race day is 6.4 miles per hour.
To find the answers to these questions, we can use the formula:
Time = Distance / Speed
A) To answer the first question, you want to find the time it takes to run 3.2 miles at a speed of 6 mph. So simply plug the values into the formula:
Time = 3.2 miles / 6 mph
To express the answer in minutes, we need to convert hours to minutes. There are 60 minutes in an hour. So, multiply the time in hours by 60, which gives:
Time = (3.2 miles / 6 mph) * 60 minutes/hour
Now, let's calculate:
Time = (3.2 / 6) * 60
Time = 0.5333 * 60
Time ≈ 32 minutes
B) For the second question, you want to find the speed in miles per hour when you run 3.2 miles in 30 minutes. Again, we'll use the formula:
Speed = Distance / Time
We need to convert the time from minutes to hours. Since there are 60 minutes in an hour, divide the time in minutes by 60 to get it in hours:
Time = 30 minutes / 60 = 0.5 hours
Now, plug the values into the formula:
Speed = 3.2 miles / 0.5 hours
Speed = 6.4 mph
Therefore, your speed on race day is 6.4 miles per hour.