Tractor wheels

Smaller tractor wheel has a circumference of 3 meters, bigger 4 meters. On what path executes smaller wheel six turns over bigger?

Correct answer:

x =  72 m

Step-by-step explanation:


3(r+6)=4r
x = 4r

3·(r+6)=4·r
x = 4·r

r = 18
4r-x = 0

Pivot: Row 1 ↔ Row 2
4r-x = 0
r = 18

Row 2 - 1/4 · Row 1 → Row 2
4r-x = 0
0.25x = 18


x = 18/0.25 = 72
r = 0+x/4 = 0+72/4 = 18

r = 18
x = 72

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