Wheel revolutions

The circumference of the vehicle's front wheel is 1.44 m, and the circumference of the rear wheel is 2.56 m. How long did the vehicle travel when the front wheel made 560 more revolutions than the rear? For the unknown, choose the number of revolutions of the rear wheel.

Final Answer:

s =  1843.2 m

Step-by-step explanation:


1.44·(x+560) = 2.56·x
s = 2.56·x

1.12x = 806.4
s-2.56x = 0

Pivot: Row 1 ↔ Row 2
s-2.56x = 0
1.12x = 806.4


x = 806.4/1.12 = 720
s = 0+2.56x = 0+2.56 · 720 = 1843.2

s = 9216/5 = 1843.2
x = 720

Our linear equations calculator calculates it.



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