SOLUTION: Two trains leave Los Angelas simultaneously traveling on the same track in opposite directions at speeds of 50 and 65 mph. How long will iot take before they are 285 miles apart?

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Question 187851This question is from textbook Beginning Algebra
: Two trains leave Los Angelas simultaneously traveling on the same track in opposite directions at speeds of 50 and 65 mph. How long will iot take before they are 285 miles apart?

I know the awnser is 2 1/2hrs. Could someone please show me how to work this problem step by step? Thank you This question is from textbook Beginning Algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
.
You will be applying the "distance formula":
d = rt
where
d is distance
r is rate
t is time
.
Let t = time traveled in hours
.
Equation then is:
"distance traveled by 50 mph train" + "distance traveled by 65 mph train" = 285
50t + 65t = 285
115t = 285
t = 285/115
t = 2.4783 hours
or
2 hours and 29 minutes