MHB Distance from Oakville to Sudbury: 550km, 8h

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The discussion revolves around calculating the distance from Oakville to Sudbury based on a trip that totals 550 km and takes 8 hours. Two equations are established: one for distance using speed and time, and another representing the total time of the trip. The calculations lead to the conclusion that the distance from Oakville to Sudbury is 400 km. The conversation also includes a welcome message and a query about the direction of a previous statement. The problem-solving approach is collaborative, with participants helping to clarify and correct each other's calculations.
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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
 
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bkan21 said:
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
 
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= 5therefore the distance from Oakville to Sudbury =80y = 80 (5)= 400 km
 
brosnan123 said:
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?
 
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