Question

Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters. They decide to run the 200 meter race again with Jordan starting 23 meters behind the starting
line.
a. Assuming both runners run at the same pace as they did in the first race, who wins the second race?

Answer 1

Answer:

Jordan wins the second race.

Step-by-step explanation:

Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters.

This means that while Jordan ran 200 meters, Amari will have ran 200 - 23 = 177 meters.

Thus, for each meter that Jordan runs, Amari runs 177/200 = 0.885 meters.

Second race:

Jordan starting 23 meters behind the starting line, and thus, he will have to run 200 + 23 = 223 meters.

When Jordan reaches the finish line, having ran 223 meters(200 + 23 behind), Amari will have ran 223*0.885 = 197.335 meters(< 200, so he will not have reached the finish line), and thus, Jordan wins the second race.