Question 837606
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(50(t+1)+60t=215)}}}
{{{110t+50=215}}}
{{{110t=215-50=165}}}
{{{t=165/110=highlight(1.5)}}}
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This is {{{highlight(1&1/2*hours)}}}, corresponding to 2:30PM.