Answer:
All three have same rate of running.
Step-by-step explanation:
Given that:
Distance covered by Roger = 150 minutes
Time taken by Roger = 5 miles
Distance covered by Ryan = 300 minutes
Time taken by Ryan = 10 miles
Distance covered by Rick = 2[tex]\frac{1}{2}[/tex] hours
Time taken by Rick = 2 miles
To find:
Who has the fastest rate of running?
Solution:
First of all, we need to convert the time in hours and then we need to apply the formula for relation between Speed, time and distance.
Then we can compare the Speed.
60 minutes = 1 hour
150 minutes = [tex]\frac{1}{60} \times 150 = 2.5\ hours[/tex]
300 minutes = 5 hours
Formula for Speed:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Rate of running (speed) of Roger = [tex]\frac{5}{2.5}[/tex] = 2 miles/hr
Rate of running (speed) of Ryan = [tex]\frac{10}{5}[/tex] = 2 miles/hr
Rate of running (speed) of Rick = [tex]\frac{5}{2.5}[/tex] = 2 miles/hr
Therefore, All three have same rate of running.
