Cars speeds

The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes?

Correct answer:

a =  61 km/h
b =  59 km/h

Step-by-step explanation:


a=2+b
108 = 54/60·(a+b)

a-b = 2
54a+54b = 6480

Pivot: Row 1 ↔ Row 2
54a+54b = 6480
a-b = 2

Row 2 - 1/54 · Row 1 → Row 2
54a+54b = 6480
-2b = -118


b = -118/-2 = 59
a = 6480-54b/54 = 6480-54 · 59/54 = 61

a = 61
b = 59

Our linear equations calculator calculates it.



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