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- Thread starter bkan21
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- Jan 26, 2012

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Hi bkan21,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

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

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- #3

- Jul 10, 2013

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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

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- #4

Hello and welcome to MHB!Your answer is right, but some mistakes have to be corrected...

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