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Finding distance

bkan21

New member
Sep 22, 2012
6
Raoul drove at a speed of 50 km/h from Ancaster to Oakville. From Oakville to Sudbury, he drove 80 km/h. If the whole trip was 550km and took 8h, what is the distance from oakville to sudbury
 

Jameson

Administrator
Staff member
Jan 26, 2012
4,052
Raoul drove at a speed of 50 km/h from Ancaster to Oakville. From Oakville to Sudbury, he drove 80 km/h. If the whole trip was 550km and took 8h, what is the distance from oakville to sudbury
Hi bkan21,

Welcome to MHB!

You have two variables and two equations. Let x be the time it takes to drive from Ancaster to Oakville and let y be the time it takes to drive from Oakville to Sudbury. From that we can write two relationships using the rest of the information.

$50x+80y=550$ (this is using the fact that $\mbox{rate} \times \mbox{time=distance}$)
$x+y=8$

Can you solve it now? How did you try to solve the problem?

Jameson
 

brosnan123

Banned
Jul 10, 2013
1
Your answer is right, but some mistakes have to be corrected.

let x be time from Ancaster to Oakville
let y be the time from Oakville to Sudbury

A->O Distance: 50 x
Speed: 50
Time: x

O->S Distance: 80y
Speed: 80
Time: y

x+y=8 ...............(1)
50x + 80y = 550.........(2)
-50x - 50y = -400.........(3)

30 y = 150............adding (1) and (3)
________________

y= 5


therefore the distance from Oakville to Sudbury =80y = 80 (5)= 400 km
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Your answer is right, but some mistakes have to be corrected...
Hello and welcome to MHB! :D

I'm just curious...no one gave the answer, so to whom is this statement I have quoted directed?