SOLUTION: A car leaves a train depot at 1:00pm and travels at 60mph. A train leaves the same station 1 1/2hrs later and travels at 80mph in the same direction as the car. At what time will t

Question 503643: A car leaves a train depot at 1:00pm and travels at 60mph. A train leaves the same station 1 1/2hrs later and travels at 80mph in the same direction as the car. At what time will the train overtake the car?

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
d = rt is the fundamental distance equation.
.
Train 1:
d = 60 mph * t hrs
.
Train 2:
d = 80 mph * (t-1.5) hrs
.
When Train 2 catches up to Train 1, they have traveled the same distance: d=d.
.
60t = 80(t-1.5)
60t = 80t - 120
-20t = -120
t = 6
.
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.
.
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.
.
Answer: Train 2 will overtake Train 1 at 7 p.m.
.
Done.
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