The radius of the front wheel is 0.2m, and the radius of the rear wheel is 0.8m. What is the distance traveled

The radius of the front wheel is 0.2m, and the radius of the rear wheel is 0.8m. What is the distance traveled by the carriage if the front wheel has made 3600 more revolutions than the rear.

Let’s designate the number of revolutions of the front wheel x, then the number of revolutions of the rear wheel will be (x – 3600).

Let us express the circumference of the front wheel:
L1 = 2 * п * R1 = 2 * п * 0.2 = п * 0.4 m;
rear wheel:
L2 = 2 * п * R2 = 2 * п * 0.8 = п * 1.6 m

Let’s make the equation:
п * 0.4 * x = п * 1.6 (x – 3600);
0.4 * x = 1.6 * x – 5760;
1.2 * x = 5760;
x = 4800 – the number of revolutions made by the front wheel.

Find the path by multiplying the circumference of the front wheel by the number of revolutions:
S = L1 * x = п * 0.4 * 4800 = п * 1920 = 6028.8 m

Answer: the carriage traveled a distance of 6028.8 m.