SOLUTION: A freight train leaves a station at 5 A.M and travels North at 55 mph. At 6 A.M, a passanger train leaves on a parallel track and travels North at 60 mph. How long will it take the

Question 526286: A freight train leaves a station at 5 A.M and travels North at 55 mph. At 6 A.M, a passanger train leaves on a parallel track and travels North at 60 mph. How long will it take the passanger train to overtake the freigh train?

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Start with the distance equation: d=r*t
.
Train 1.
d = 55t
.
Train 2.
d = 60(t-1)
.
When Train 2 overtakes Train 1, they will have traveled the same distance.
.
d=d
so
55t = 60(t-1)
55t = 60t -60
-5t = -60
t = 12
.
Train 1 will have been traveling for 12 hr when Train 2 overtakes it.
Train 2 will have been traveling for 11 hr when it overtakes Train 1.
.
Check: Will they have traveled the same distance?
55*12 = 660
60*11 = 660
Correct.
.
Done.
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