Answer to Question #133484 in Physics for alice

Question

A man is running 5m/s with 50m till the finish, there is a man 5m behind also running 5m/s. How fast will the man behind need to go to win the race?

Answer 1

The first man has 50 m till the finish and if he does not accelerate, it will take 50/5=10 seconds to cross the line.

Therefore, to win the race, the second man (who has 55 m of track) must cross the finish line in less than 10 seconds. Therefore, his speed must be more than

$$v=\frac{55}{10}=5.5\text{ m/s}.$$