Posted by Joy on Monday, October 27, 2008 at 11:32pm.
Montreal and Quebec City are about 260km apart along Route 20 in Canada.
Sylvia is leaving Montreal to go to Quebec City at a speed of 90km per hour. And Anne is leaving Quebec City to go to Montreal at a speed of 105km per hour.
a) When and where do Slyvie and Anne pass each other? (Assume that neither one stops along the way. Include a table or a graph with your answer.) Hint: When are they the same distance from Montreal?
b) Write an equation to model this situation. Then show how to solve the equation.

Algebra  Reiny, Tuesday, October 28, 2008 at 1:50am
The key is that they both drove the same time.
let distance driven by Sylvia when they pass each other be x km
then distance driven by Anne would be 260  x km
Time for Sylvia = x/90
Time for Anne = (260x)/105
so x/90 = (260x)/105
crossmultiply and solve for x, then sub the x value into x/90 to find the time
(BTW, totally off topic, I'll be driving to Montreal on Friday)
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