Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
(A-)Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.
(B-)Runner B; Runner B will catch up to runner A 3.5 hours after Runner A crosses the starting line.
(C-)Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.
(D-)Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.
A runner jogged 5-8 of a mile south and 1-3of a mil east.how far did the runner jog?
To determine which runner will finish ahead of the other, we need to calculate the time it will take for each runner to complete the marathon.
Runner A runs at an average pace of 5.6 miles per hour. Since the marathon is 26.2 miles long, it will take Runner A:
Time taken by Runner A = Distance / Speed = 26.2 miles / 5.6 miles per hour = 4.68 hours.
Runner B runs at an average pace of 6.4 miles per hour. However, Runner B starts half an hour later than Runner A. So, we need to account for this time difference when calculating when Runner B will finish the marathon.
The time it takes for Runner B to complete the marathon after starting is:
Time taken by Runner B = Time taken by Runner A + Starting time difference = 4.68 hours + 0.5 hours = 5.18 hours.
Comparing the finishing times of both runners, we can determine which runner will finish ahead of the other:
- If Runner B finishes in less than 4.68 hours, Runner B will finish ahead of Runner A.
- If Runner B finishes between 4.68 hours and 5.18 hours, Runner A will finish ahead of Runner B.
- If Runner B finishes in more than 5.18 hours, Runner B will finish ahead of Runner A.
The correct answer is (C-) Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.