Two runners are competing in a race. One runner averages a pace of 7 minutes per mile and finishes the race in
28 minutes. The second runner finishes the race in 30 minutes. Which of the following is the pace of the second
runner
7 minutes, 15 seconds per mile
B. 7 minutes, 30 seconds per mile
C. 8 minutes, 15 seconds per mile
D. 8 minutes, 30 seconds per mile
Answer: B) 7 minutes, 30 seconds per mile.
It takes the slower runner 30/28 minutes longer than the faster runner to complete the race, or 1.071 times longer. Because the faster runner is going at 7 minutes per mile, the second runner is going at 7.5 minutes per mile (1.071 * 7), or 7 minutes and 30 seconds per mile.
To find the pace of the second runner, we need to divide the total time taken by the distance. In this case, since both runners are running the same distance, we can compare their time and find the pace of the second runner.
We know that the first runner finishes the race in 28 minutes, and their pace is 7 minutes per mile. So, if we divide the total time by the pace, we can find the distance they ran:
Distance = Time / Pace
Distance = 28 minutes / 7 minutes per mile
Distance = 4 miles
Now, let's find the pace of the second runner. We know that the second runner finishes the race in 30 minutes:
Pace of second runner = Time / Distance
Pace of second runner = 30 minutes / 4 miles
Pace of second runner = 7.5 minutes per mile
Therefore, the pace of the second runner is 7.5 minutes per mile.