Question 503643
d = rt is the fundamental distance equation.
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Train 1:
d = 60 mph * t hrs
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Train 2:
d = 80 mph * (t-1.5) hrs
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When Train 2 catches up to Train 1, they have traveled the same distance:  d=d.
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60t = 80(t-1.5)
60t = 80t - 120
-20t = -120
t = 6
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So, the first train travels for 6 hr at 60 mph = 360 miles.
and
the second train travels for 4.5 hr at 80 mph = 360 miles.
Correct.
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Re-read the question to make sure you answer it.
What time with Train 2 overtake Train 1?
Well, Train 1 left at 1 p.m. and traveled for 6 hr = 7 p.m.
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Answer:  Train 2 will overtake Train 1 at 7 p.m.
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Done.