SOLUTION: A train leaves Albert Lea, MN headed due north towards Brainerd, MN at 12:00 noon traveling at 50 mph. One hour later, at 1pm, a train leaves Brainerd traveling toward Albert Lea

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Question 837606: A train leaves Albert Lea, MN headed due north towards Brainerd, MN at 12:00 noon traveling at 50 mph. One hour later, at 1pm, a train leaves Brainerd traveling toward Albert Lea 215 miles away at 60 mph. At what time do the trains meet?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
A to B, and B to A, two different trains, meet in the middle, different departure times. The wording is a little oddly organized, but the total distance traveled will be the distance between A and B, which is 215 miles. This is given in the last sentence of the description.

___________speed_____________time_________distance
A to B______50________________t+1
B to A______60_________________t
Total_______________________________________215

Find the distance expressions using rate*time=distance.

___________speed_____________time_________distance
A to B______50________________t+1___________50(t+1)
B to A______60_________________t____________60t
Total_______________________________________215

Total distances make for the equation to solve for t,
highlight_green%2850%28t%2B1%29%2B60t=215%29
110t%2B50=215
110t=215-50=165
t=165%2F110=highlight%281.5%29
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This is highlight%281%261%2F2%2Ahours%29, corresponding to 2:30PM.