1. Luke rode a bike 20 miles in 150 minutes. If he rode at a constant speed,
a. How far did he ride in 15 minutes?
b. How long did it take him to ride 6 miles?
c. How fast did he ride in miles per hour?
d. What was his pace in minutes per mile?

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anjalipriya1 anjalipriya1 · Answer 1 · 2019-11-11T11:08:09+01:00

Answer:

a. 2 miles

b. Answer: 45 minutes

c. Answer: 8 miles per hour

d. Answer: 7.5 minutes per mile

Explanation:

Given distance = 20 miles and time taken = 150 minutes, speed = constant

a. 2 miles

Given 20 miles travelled in 150 minutes,

distance travelled in 1 minute = [tex]$\frac{20}{150}$[/tex]

so that distance travelled in 15 mins = [tex]$15 \times \frac{20}{150}=2$[/tex]miles

b. 45 minutes

time taken to travel one mile =[tex]$\frac{150}{20}$[/tex]

so that time taken to travel 6 miles = [tex]$6 \times \frac{150}{20}=45$[/tex] minutes

c. 8 miles per hour

Speed of bike = distance travelled divided by time taken

time taken in hours = [tex]$\frac{150}{60}=2.5$[/tex] = 2.5 hours

Speed in miles per hour = [tex]$\frac{20}{2.5}=8$[/tex] miles per hour

d. 7.5 minutes per mile

pace is given by time divided by distance,

so pace in minutes per mile =[tex]$\frac{150}{20}=7.5$[/tex] minutes per mile