Truck PRG-BA

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

Correct result:

t =  3 h
s =  270 km

Solution:


s = 54 + 72 t
s = 90 t

s = 54 + 72•t
s = 90•t

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

s = 270
t = 3

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