# distance traveled

• Mar 11th 2012, 12:12 PM
Lamalif
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?
• Mar 11th 2012, 12:19 PM
skeeter
Re: distance traveled
Quote:

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
• Mar 11th 2012, 04:12 PM
Lamalif
Re: distance traveled
Thank you.
I can only solve a linear equation
• Mar 11th 2012, 04:34 PM
skeeter
Re: distance traveled
Quote:

Originally Posted by Lamalif
I can only solve a linear equation

... and the system of equations I've set up are exactly that, linear.
• Mar 12th 2012, 04:40 PM
Lamalif
Re: distance traveled
Thank you again.
you are right.This is a system of equation.
Excuse me.