The circumference of the front wheel of the cart is 1.4 m, the rear wheel is 1.8 m.

The circumference of the front wheel of the cart is 1.4 m, the rear wheel is 1.8 m. How far will the front wheel turn 100 more revolutions than the rear wheel?

Let us denote by the variable k the number of revolutions that the rear wheel will make under the specified condition.

Accordingly, the number of revolutions that the front wheel will make when the specified condition is met, we can represent in the form (k + 100).

Since we know the circumference of both wheels, we write the equation and calculate through the distance the front wheel will make 100 more revolutions:

1.4 * (k + 100) = 1.8k;

140 = 0.4k

k = 350.

1.8 * 350 = 630.

Answer: This will happen in 630 meters.