Directions: Follow the instructions below to design a fair race for the new video

game Animal Tracks.
1. Choose two animals with different speeds. You can choose from the chart
that starts at the bottom of this page or do research to choose your own.
2. Design a fair race in which the two animals have an equal chance of winning
if they race at their top speed. Here are a few tips for your design:
a. The race is fair if the two animals could finish the race in the same
amount of time.
b. You can give the slower animal a shorter distance to race.
c. Since this is a video game, the race does not need to be realistic—it
can be any length, and the animals can run at a constant speed.
3. Write a system of two linear equations showing the distance each animal can
travel to model the fair race. Be sure to define all variables.
4. Graph the system to prove that the two animals have an equal chance of
winning the race. Explain how the graph proves the race is fair.
Your equations, graph, and explanation for your race design will be submitted as
your portfolio assessment.

I need help with number 3, as i think i can figure everything else after. My animals i picked are a coyote (runs at 43 mph) and a rabbit (runs at 35 mph)

1 answer

if fair, they both have the same times.
A1: S1*time=distance1
A2: S2*time=distance2
so those are the fair distances each has to travel. I guess those two equations are the ones asked for. S1, S2 are the speeds of the animals, and d1,d2 are the "fair" distances for each.
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