Question 505878: Your mom leaves on a trip to Florida, forgetting her suitcase at home. You know that she normally drives 55 mph. However, you do not discover the suitcase until 1 hour after she has left on her trip. If you follow her on her exact route and travel 65 mph., how long will it take you to catch up with her?
Hint: Let d=distance in miles, let t=time in hours it will take to catch up with her and let t+1= time traveled by your mom at a slower rate of speed.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Use the variables as they suggested,
When he catches his mom they will both have traveled the same distance
write a distance equation; dist = speed * time
:
your dist = Mom's dist
65t = 55(t+1)
65t = 55t + 55
65t - 55t = 55
10t = 55
t = 5.5 hrs
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Confirm this by finding the distances, they should be equal
65(5.5) = 357.5
55(6.5) = 357.5
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