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?

Respuesta :

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