Truck PRG-BA

Truck driving on the highway from Prague to Bratislava at an average speed of 72 km/h. At the moment when the truck passes 54 kilometers from Prague passenger car departs from Prague, which travels to Bratislava at a speed of 90 km/h. When and where (at what highway kilometer) passenger car catch truck?

Correct answer:

t =  3 h
s =  270 km

Step-by-step explanation:


s = 54 + 72 t
s = 90 t

s = 54 + 72·t
s = 90·t

s-72t = 54
s-90t = 0

Row 2 - Row 1 → Row 2
s-72t = 54
-18t = -54


t = -54/-18 = 3
s = 54+72t = 54+72 · 3 = 270

s = 270
t = 3

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