# A central railway freight train leaves a station and travels due north at a speed of 60 mph. One hour later an amtrak passenger train leaves the same station and travels due north on a parallel track at a speed of 80 mph. how long will it take the passenger train to overtake the freight train.

A central railway freight train leaves a station and travels due north at a speed of 60 mph. One hour later an amtrak passenger train leaves the same station and travels due north on a parallel track at a speed of 80 mph. how long will it take the passenger train to overtake the freight train.
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Bianca Chung
D = distanced from the station at the time the two trains meet
t = time since the first train leaves
first train: D = 60 * t
second train: D = 80 (t-1)
solve the system of equations:
from equation one: D = 60t or t = D/60
from equation two D = 80t - 80 = 80(D/60) - 80
D = 8(D/6) - 80
D - (8)D/6) = 80
D = 240 miles