SOLUTION: A truck traveling at a constant rate of 45 miles per hour leaves Buffalo traveling west. At the same time, a car leaves a city 800 miles west of Buffalo traveling east at a constan

Algebra ->  Test -> SOLUTION: A truck traveling at a constant rate of 45 miles per hour leaves Buffalo traveling west. At the same time, a car leaves a city 800 miles west of Buffalo traveling east at a constan      Log On


   



Question 138689: A truck traveling at a constant rate of 45 miles per hour leaves Buffalo traveling west. At the same time, a car leaves a city 800 miles west of Buffalo traveling east at a constant rate of 60 miles per hour. If both vehicles are traveling on the same highway, how far, to the nearest mile, will each vehicle travel before they meet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What is the same for both vehicles? That's aways the key question
in these problems. It is elapsed time until they meet
For the truck:
d+=+r%2At
d+=+45t
t+=+d%2F45
For the car:
800+-+d+=+60t
Now use substitution
800+-+d+=+60%28d%2F45%29
45%2A800+-+45d+=+60d
36000+=+105d
d+=+342.86, or to the nearest mile. 343 mi
800+-+343+=+457
The truck travels 343 mi and the car travels 457 mi before they meet