SOLUTION: Two cars leave the origin; one goes north at 35 mph and the other goes south at 50 mph. After how many hours will they be 500 miles apart?

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Question 612616: Two cars leave the origin; one goes north at 35 mph and the other goes south at 50 mph. After how many hours will they be 500 miles apart?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars leave the origin; one goes north at 35 mph and the other goes south at 50 mph. After how many hours will they be 500 miles apart?
.
Let t = time (hours) traveled
then
distance traveled north is 35t
distance traveled south is 50t
.
35t + 50t = 500
85t = 500
t = 500/85
t = 5.88 hours
or
t = 5 hours and 53 minutes