# Thread: distance traveled

1. ## distance traveled

The diameter of the large wheel of a tractor is 180cm and that of the small wheel is 50cm. what is the distance traveled by the tractor if the number of revolutions of the small wheel exceeds the number of turns of the large wheel by 2600 revolutions?

2. ## Re: distance traveled

Originally Posted by Lamalif
The diameter of the large wheel of a tractor is 180cm and that of the small wheel is 50cm. what is the distance traveled by the tractor if the number of revolutions of the small wheel exceeds the number of turns of the large wheel by 2600 revolutions?
s = distance traveled

D = big wheel diameter

d = little wheel diameter

k = number of revolutions of the large wheel

$s = k \cdot \pi D$

$s = (k+2600)\pi d$

solve the system for k , then determine s

3. ## Re: distance traveled

Thank you.
I can only solve a linear equation

4. ## Re: distance traveled

Originally Posted by Lamalif
I can only solve a linear equation
... and the system of equations I've set up are exactly that, linear.

5. ## Re: distance traveled

Thank you again.
you are right.This is a system of equation.
Excuse me.