Passenger 4468

A truck left Beroun at 7 o'clock in the direction of Prague on the highway in the fog. In 20 minutes after that, a car drove by at the same place and along the same route at a 27 km/h higher speed. The passenger car overtook the truck after another twenty minutes. What were the speeds of the two cars?

Correct answer:

a =  27 km/h
b =  54 km/h

Step-by-step explanation:


b = a + 27
a · (20+20)/60 = b · 20/60

a-b = -27
40a-20b = 0

Pivot: Row 1 ↔ Row 2
40a-20b = 0
a-b = -27

Row 2 - 1/40 · Row 1 → Row 2
40a-20b = 0
-0.5b = -27


b = -27/-0.5 = 54
a = 0+20b/40 = 0+20 · 54/40 = 27

a = 27
b = 54

Our linear equations calculator calculates it.



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