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