Sasha ran 20 miles in 150 minutes. Use the sketchpad and/or the text box to show your thinking about the following question:
a) At this speed, how long will it take Sasha to run 6 miles?
b) At this speed, how far could she run in 15 minutes?
c) How fast is she running in miles per hour?
d) What is her pace in minutes per mile?
a) To find out how long it will take Sasha to run 6 miles at this speed, we can set up a proportion. We know that Sasha ran 20 miles in 150 minutes. So the proportion becomes:
20 miles / 150 minutes = 6 miles / x minutes
To solve for x, we can cross multiply:
20 * x = 150 * 6
x = (150 * 6) / 20
x = 45
Therefore, it will take Sasha 45 minutes to run 6 miles at this speed.
b) To find out how far Sasha could run in 15 minutes at this speed, we can set up a proportion. We know that Sasha ran 20 miles in 150 minutes. So the proportion becomes:
20 miles / 150 minutes = x miles / 15 minutes
To solve for x, we can cross multiply:
20 * 15 = 150 * x
300 = 150x
x = 300 / 150
x = 2
Therefore, Sasha could run 2 miles in 15 minutes at this speed.
c) To find out how fast Sasha is running in miles per hour, we need to convert minutes to hours. Since there are 60 minutes in 1 hour, we can set up the following proportion:
150 minutes / 1 hour = 20 miles / x hours
To solve for x, we can cross multiply:
150 * x = 20 * 1
150x = 20
x = 20 / 150
x ≈ 0.1333
Therefore, Sasha is running at a speed of approximately 0.1333 miles per hour.
d) To find out Sasha's pace in minutes per mile, we can divide the total time (in minutes) by the total distance (in miles). So Sasha's pace is:
150 minutes / 20 miles = 7.5 minutes per mile
Therefore, Sasha's pace is 7.5 minutes per mile.