Want some teacher input?
I teach high school math and physics [so if you really want to know how to do that train problem, let me know, and I’ll help you out], and kids [at least the ones in my classes] have never been taught how to think. They want to be spoon fed, at home as well as at school, and even on this message board.
It’s fine to offer suggestions and help - absolutlely. But if you can, the best way to do it is ask to questions - for example, for the Hamlet question, “What are elements in the greek classical drama? Who doesn’t work? Why?” You all are obviously intelligent people - taught to think and left to reason. Part of really helping [and the point of homework] is allowing students to reason and understand.
And for the record, Train A, from Chicago, traveling at a constant rate of 105 mph will travel 26.25 miles in the 15 minutes (quarter of an hour, quarter of 105), so when Train B leaves Tampa, Train A is 26 miles closer.
So, assuming Tampa to Chicago = 1213.6 miles (according to MapQuest), and Train A does some alone [1213.6 miles - 26.25 miles = 1187.35 miles apart when Train B starts].
So, assuming x = number of hours on the roads, here’s your equation:
(105 miles/hr)(x hours) + (125 miles/hr)(x hours) = 1187.35 miles
230x = 1187.35
x = 5.16 hours, so they will meet in 5 hrs, 9 mins, and 36 sec.
From 1:30, that will be 6:39:36 P.M. [of course, Chicago and Tampa are in seperate time zones, but to do this, you have to go thru Orlando and Washington, DC anyway.]
Yeah. Way, way too much time.