Question

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?

Answer 1

a. 2 miles

b. Answer: 45 minutes

c. Answer: 8 miles per hour

d. Answer: 7.5 minutes per mile

Step-by-step 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 =
`$(20)/(150)$`

so that distance travelled in 15 mins =
`$15 * (20)/(150)=2$`miles

b. 45 minutes

time taken to travel one mile =
`$(150)/(20)$`

so that time taken to travel 6 miles =
`$6 * (150)/(20)=45$` minutes

c. 8 miles per hour

Speed of bike = distance travelled divided by time taken

time taken in hours =
`$(150)/(60)=2.5$` = 2.5 hours

Speed in miles per hour =
`$(20)/(2.5)=8$` miles per hour

d. 7.5 minutes per mile

pace is given by time divided by distance,

so pace in minutes per mile =
`$(150)/(20)=7.5$` minutes per mile