posted by Joy on .
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.
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 = (260-x)/105
so x/90 = (260-x)/105
cross-multiply 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)