Running a race

By: Ahmed Al Jaidah, Ali A Khulafi and Charon Dias

Introduction

Our Investigation was to find out how would we design an equal race so everyone would get a chance to win. We chose players running from 1-8 km a one hundred meter race.

We were thinking of a way to make a race so everyone had a chance to win. It was a good way but not so good when it comes to real life racing on a field.

Get ready contestants…

Here are our Contestants!

Contestants Speeds (Per Hour)

Player A 8 Km

Player B 7 Km

Player C 6Km

Player D 5Km

Player E 4Km

Player F 3Km

Player G 2 Km

Player H 1Km

How would we place them?

Sounded A little Confusing?

Lets look at it visually!

* (The actual race line on a computer screen in 10cm long so we are converting10 cm to 100m.)

*Important Point!

Player A starts at 100m because he is the fastestAt 8km.

Player E Starts halfwayFrom Player A

Player G starts halfway throughPlayer E.

Player H startsHalfwayThrough Player G

Player F Stars 12.5 Meters After player G

Player D starts12.5 meters After player D

Player C starts the race with 75 meters to run.

Player B starts 12.5 meters afterPlayer C and 12.5 meters before player A

Lets make a 200 meter race table

All we have to do is double the distances placed at

Player A

Player B

Player C

Player D

Player E

Player F

Player G

Player H

200m 175m 150m 125m 100m 75m 50m 25m

8 Km 7 Km 6 Km 5 Km 4 Km 3 Km 2 Km 1 Km

200 meter distance starts

I can see from this graph that all the distances are going up by 25m because 12.5m X 2 =25. To make 400 meters all you have to do is multiply these times by two to get the next Places the racers should be kept.

Is this formation a fair test?

Mathematically Speaking

If we are speaking mathematically, all racers should come in first place. The reason is because all the racers are placed on the running track by their speeds.

This is a good mathematical concept because in the end all people should land up at the finish line together.

Realistically Speaking

But realistically speaking this is an unfair test because in a real race not everyone runs at the same speed.

The race would also be unfair if the person at first runs far and then slows down during the end.

In the end the fastest person has to work the hardest because they have to run 100m while the slowest person only run 12.5m

Conclusion

In the end at the end of the day it is whether you look at this from a mathematical side or a realistic view. As math is more about patterns but in real life the runner does not run at a constant speed of 8km an hour for a 100m race.