Whew! I spent all morning out at the memory care singing for the old folks (of which I’m one). The good thing about that is they forget as soon as you’re finished.
And now the solution to yesterday’s question. “T” is the time it takes for the trains to meet. The train from Philly leaves 1/2 hour after the train from Cleveland:
The distance each travels is Dp or Dc.
Dc+Dp= 400 miles
The time it takes the train from Cleveland is:
The amount of time it takes the train from Philly is:
Plug in stuff and you get:
Now the train from Cleveland leaves at 8:00. So the time of day when the trains meet is:
Which is the same as the time the Philly train gets there which is: