My Math Forum  

Go Back   My Math Forum > High School Math Forum > Pre-Calculus

Pre-Calculus Pre-Calculus Math Forum

Thanks Tree1Thanks
  • 1 Post By MarkFL
LinkBack Thread Tools Display Modes
March 8th, 2017, 02:31 AM   #1
Joined: Mar 2017
From: Australia

Posts: 2
Thanks: 0

Arrow Unknown Race Times

(Can you please explain clearly how you found the solution to this question as I'm only a Year 7)

In a 5000m race, the winner finishes 200 metres ahead of second and 600 metres ahead of third. Assuming the runners run at a constant speed, to the nearest integer how many metres ahead of third will second finish?

I tried using

formula and I replaced it with the distances between them and pro-numerals for the speed, but then I got stuck. I found out the answer in the internet to be 417 m but I didn't understand how they got the answer because it was in Year 9 format. Can anyone help me?
Bio is offline  
March 8th, 2017, 05:08 AM   #2
Senior Member
MarkFL's Avatar
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
At the time the winner crosses the finish line, the second place runner has run 4800 m. Since the runners have constant speeds, the distances between them is increasing linearly so we may state:

$\displaystyle \frac{400}{4800}=\frac{d}{5000}$


$\displaystyle \frac{1}{12}=\frac{d}{5000}$


$\displaystyle d=\frac{5000}{12}=\frac{1250}{3}\approx417$
Thanks from greg1313
MarkFL is offline  

  My Math Forum > High School Math Forum > Pre-Calculus

algebra precalculus, race, times, unknown

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Probability of a runner winning a race turola Probability and Statistics 2 April 27th, 2015 01:11 PM
Who could have won the race? jaherwasim Algebra 3 November 19th, 2012 11:50 PM

Copyright © 2019 My Math Forum. All rights reserved.