Question

A runner ran 20 miles in 150 minutes.

If she runs at the same speed,
a. How long would it take her to run 6 miles? ___minuets

b. How far could she run in 15 minutes?
___miles
C. How fast is she running in miles per hour?
miles per hour___
d. What is her pace in minutes per mile?
minutes per mile___

Answer 1

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

Answer 2

Use ratios and cross multiplication to solve this

• 20 miles ⇔ 150 minutes

a.

• 20 miles ⇔ 150 minutes
• 6 miles ⇔ x minutes
• 20x = 150*6
• x = 900/20
• x = 45 minutes

b.

• 6 miles ⇔ 45 minutes
• x miles ⇔ 15 minutes
• x = 6*15/45
• x = 2 miles

c.

• 2 miles ⇔ 15 minutes
• x miles ⇔ 1 hour = 60 min
• x = 2*4 = 8 miles per hour

d.

• 2 miles ⇔ 15 minutes
• 1 mile ⇔ x minutes
• x = 15/2 = 7.5 minutes per mile