Calculus
posted by Devin
In a 21 meter race between a turtle and a hare, the turtle leaves 8 minutes before the hare. The hare, by running at an average speed of 0.5 meters per hour faster than the turtle, crosses the finish line 4 minutes before the turtle. What are the average speeds of the turtle and the hare?

Steve
since time = distance/speed, if the turtle's speed is x m/min, then since .5 m/hr = 1/120 m/min
21/x = 8 + 21/(x+1/120) + 4
The turtle moves at 7/60 m/min = 7 m/hr
The hare moves at 1/8 m/min = 7.5 m/hr
you can check the times to verify that they work out.
Respond to this Question
Similar Questions

english double checking
5 If someone asked me what kind of tale this was I would say it is a folktale because it is passed on and told by a person. The tale also uses animals and teaches lessons. 8 In what ways are the stories "The Turtle and the Rabbit … 
Physics
A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 0.8 m/s2 for 4.4 seconds. It then continues at a constant speed for 13.5 seconds, before … 
Algebra 2
a tortoise crawling at a rate of 0.1 mph, the hare wants to rest 30 more minutes before chasing the turtle at 5 mph. how many feet must the hare run to catch the turtle? 
physics
A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1.2 m/s2 for 4.3 seconds. It then continues at a constant speed for 11.7 seconds, before … 
Algebra 2
A turtle passes a hare at .1 miles per hour. How much feet would the hare have to catch the turtle if the hare wakes up 30 minutes later and chases the turtle at a rate of 5 miles per hour 
Physics
1. A rabbit and a turtle are practicing for their big race. The rabbit covers a 30.0 m practice course in 5.00 seconds; the turtle covers the same distance in 120 seconds. If the actual race is run on a 96.0 m course, by how many seconds … 
physics
turtle goes 0.50m/s rabbit goes 3.0m/s^2.. rabbit gives turtle 195 seconds head start. how long will it take for hare to catch turtle? 
physics
The tortoise and the hare agree to a race. Of course, they are racing cars, having gotten tired of racing on foot. The tortoise, having just bought a new Mercedes AMG GT, allows the hare to have a running start in his Volkswagen Rabbit. … 
physics
A tortoise and a hare are having a 1000meter race. The tortoise runs the race at a constant speed of 2.30 cm/s. The hare moves at an average speed of 1.50 m/s for 10.0 minutes and then decides to take a nap. After waking up from the … 
Physic
A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1.5 m/s^2 for 4.1 seconds. It then continues at a constant speed for 11.9 seconds, before …