Answer:
If Athlete J continues at that speed, it will take 12 minutes to run 1 mile
It will take Athlete J 60 minutes to run 5miles
Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.
Explanation:
The formula for calculating the speed of the athlete is expressed as:
Speed = Distance/Time
1) If Athlete J runs 2/3 of a mile in 8 minutes, this can be expressed as:
2/3 miles = 8 minutes
If the athlete runs for 1 mile, then;
1 mile = x
Divide both expressions
2/3 = 8/x
2x = 24
x = 12 minutes
Hence If Athlete J continues at that speed, it will take 12 minutes to run 1 mile
2) if athlete J run 5 miles, the time taken will be expressed as;
2/3(5) = 8/x
2/15 = 8/x
2x = 120
x = 60minutes
Hence it will take Athlete J 60 minutes to run 5miles
3) If Athlete H runs 2 3/4 miles in 1/2 hour, then the speed of athlete H will be expressed as:
Speed = (2 3/4)/0.5
Speed = 2.75/0.5
Speed = 5.5miles/hr
For Athlete J;
Speed = 5/1
Speed = 5 miles/hr
Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.