SOLUTION: I need your help please... Two trains leave Chicago at the same time traveling in opposite directions. One is going 60 miles per hour and the other is going 65 miles per hour. Ho

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Question 650873: I need your help please...
Two trains leave Chicago at the same time traveling in opposite directions. One is going 60 miles per hour and the other is going 65 miles per hour. How long before they are 375 miles a part?"
Can you please show me how to set the problem up and how to work through it?
Thank you in advance.
Found 2 solutions by ewatrrr, MathTherapy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 Two trains leave Chicago at the same time traveling in opposite directions.

How long before they are 375 miles a part? 

One is going 60 miles per hour forhighlight%28x%29mi  

and the other is going 65 miles per hour for highlight%28375m+-+x%29

Question states*** will travel the same amount of time and t+=+D%2Fr

x%2F60+=+%28375+-x%29%2F65  | Cross Multiplying to solve

 65x = 60(375-x)

 125x = 60*375

    x = 60*375/125 = 180mi, distance traveled by the 60mph train

 t+=+180mi%2F60mph = 3hr

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

I need your help please...
Two trains leave Chicago at the same time traveling in opposite directions. One is going 60 miles per hour and the other is going 65 miles per hour. How long before they are 375 miles a part?"
Can you please show me how to set the problem up and how to work through it?
Thank you in advance.

Distance apart, divided by sum of their speeds, equals time taken to be specified distance apart, OR

375%2F%2860+%2B+65%29, or 375%2F125, or highlight_green%283%29 hours

OR

Let time taken to be 375 miles apart be T
Distance traveled by slower train, plus distance traveled by faster train, equals distance trains are apart, OR

60T + 65T = 375

125T = 375

T, or time it takes for the 2 trains to be 375 miles apart = 375%2F125, or highlight_green%283%29 hours

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