A train leaves the station, going south, at 2:00 pm at a constant speed of 80 km/h. Another train, going north, reaches that same station at 3:00 pm at a constant speed of 60 km/h. When will the trains be closest to each other? <-- Why are people scared of this? Perhaps it's because it requires Calculus!
d(x) = sqrt((60 - 60x)^2 + (80x)^2)
d'(x) = (1/2)(10000x^2-7200x+3600)^(-1/2)(20000x -7200)
To determine the possible critical points - let d'(x)=0 --> The trains will be closest together at 2:21.40 pm.
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