194k views
3 votes
A tortoise and a hare are in a road race to defend the honor of their breed. The tortoise crawls the entire 1000 meters at a speed of 0.2 m/s. The rabbit runs the first 200 meters at 2 m/s, stops to take a nap for 1.3 hours, and awakens to finish the last 800 meters with an average speed of 3 m/s. Who wins the race and by how much time?

User Sgib
by
3.7k points

1 Answer

4 votes

Answer:

Step-by-step explanation:

tortoise finishes the race in 1000/0.2 = 5000 seconds

hare takes 200/2 + 1.3(3600) + 800/3 = 100 + 4,680 + 266⅔ = 5046⅔ s

tortoise wins by a time margin of 5046⅔ - 5000 = 46⅔ s

or a distance margin of 46⅔(3) = 140 m

User Marsouf
by
3.9k points