SOLUTION: Two trains leave stations 180 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 65 miles per hour. How l

Question 817856: Two trains leave stations 180 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 65 miles per hour. How long will it take for the two trains to meet?
Found 2 solutions by TimothyLamb, mathgranny:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = 85 + 65
s = 150
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s = d / t
t = d / s
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t = 180 / 150
t = 1.2 hours
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answer:
the trains will meet 1 hour and 12 minutes after departing
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Answer by mathgranny(13) (Show Source): You can put this solution on YOUR website!
Let's call them Train A and Train B.
Let Train A be the one that travels 85 mph, Train B travels 65 mph
They are 180 miles apart.
We do not know how far each one travels when they meet, so
Let d = distance Train A travels and then 180 - d will equal the distance Train B travels.
Train A. Train B
d = rt. d = rt
d = 85t. 180 -d = 65t
Solve for t. Solve for t
t = d/85. t = (180 - d)/65
Set the 2 expressions for t equal to each other.
d/85 = (180-d)/65
Solve for d.
d= 102 miles
to find t, train A. ; d = 85t
102 = 85t, t =. 1.2 hrs.
For Train B , distance = 180 - 102 = 78 miles.
So 78 = 65t
Solving for t also gives us t = 1.2 hours

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