Problema Solution
Currently, an athlete A holds the record in the 100
-meter
dash with a time of 9.64
seconds. In 1999, an athlete B set the world record in the 100
-meter
dash with a time of 9.82
seconds. If these two athletes ran in the same race repeating their respective times, by how many meters would athlete A beat athlete B?
Answer provided by our tutors
The rate of athlete A is:
v1 = 100/9.64 m/s
The rate of athlete B is:
v2 = 100/9.82 m/s
We need to find the difference in distance that the athletes will run in 9.64 s.
Since distance = rate*time we have:
v1*9.64 - v2*9.64 = 100 - 100(9.64/9.82) = 1.83 m
Athlete A would beat athlete B by 1.83 meters.