Answer
a) Wilson Kipsang is 7.046 miles per hour faster than the average runner.
Solution is presented below under Explanation.
b) Wilson Kipsang is 2.24 times faster than the average runner.
c) When the average runner is at mile 6, Kipsang will be at mile 13.45.
d) Kipsang's record time = 2 hours, 3 minutes, 34.6 seconds
Explanation
To solve this, we will calculate the speed of the average runner and then the speed of Wilson Kipsang
Speed = (Distance/Time)
For the average runner
Distance = 26.2 miles
Time = 4 hours 37 mins = 4 hours + (37/60) = 4.617 hours
Speed = (Distance/Time)
Speed = (26.2/4.617)
Speed = 5.675 miles per hour
For Wilson Kipsang
Distance = 1 mile
Time = 4 minutes 43 seconds = (4/60) + (43/3600) = 0.0667 + 0.01194 = 0.0786 hour
Speed = (Distance/Time)
Speed = (1/0.0786) = 12.721 miles per hour
So, now, we are asked to find how much faster than the average runner is Wilson Kipsang
Wilson Kipsang's speed = 12.721 miles per hour
Average runner's speed = 5.675 miles per hour
Wilson Kipsang is faster than the average runner by
(12.721 - 5.676) = 7.046 miles per hour
b) We are asked to find how many times faster than the average runner Wilson Kipsang is.
Let the number of times he is faster than the average runner be x
Wilson Kipsang's speed = 12.721 miles per hour
Average runner's speed = 5.675 miles per hour
(5.675) (x) = (12.721)
Divide both sides by 5.675
x = (12.721/5.675)
x = 2.24 times
c) If the average runner is at mile 6, where would Kipsang be?
To do this, we will find the time it takes the average runner to be at mile 6, then use that time to find where Kipsang would be.
Speed = (Distance/Time)
By cross multiplying, we see that
Time = (Distance/Speed)
For the average runner
Distance = 6 miles
Speed = 5.675 miles per hour
Time = (Distance/Speed)
Time = (6/5.675) = 1.057 hours
For Wilson Kipsang,
Speed = (Distance/Time)
By cross multiplying
Distance = (Speed) (Time)
Speed = 12.721 miles per hour
Time = 1.057 hours
Distance = (Speed) (Time)
Distance = (12.721) (1.057)
Distance = 13.45 miles
d) We were told that for Kipsang
1 mile = 4 minutes 43 seconds
26.2 miles = 26.2 (4 minutes 43 seconds)
26.2 miles = 26.2 (283 seconds) = 7414.6 seconds
We can then convert this further
7414.6 seconds = 2 hours, 3 minutes, 34.6 seconds
Hope this Helps!!!
