Question

На расстоянии 40 метров переднее колесо повозки сделало на 4 оборота больше заднего.Определить длину окружности каждого колеса если известно что окружность переднего колеса меньше окружности заднего на 0.5 метра!

Answer 1

Problem Analysis

We are given that the front wheel of a carriage made 4 more revolutions than the rear wheel over a distance of 40 meters. We need to determine the circumference of each wheel, knowing that the circumference of the front wheel is 0.5 meters less than the circumference of the rear wheel.

Solution

Let's assume that the circumference of the rear wheel is C meters. Since the front wheel made 4 more revolutions than the rear wheel over a distance of 40 meters, we can set up the following equation:

40 = (C - 0.5) * (4 + 1)

Simplifying the equation, we have:

40 = 5C - 2.5

Solving for C, we get:

C = 42.5 / 5 = 8.5 meters

Therefore, the circumference of the rear wheel is 8.5 meters.

Since the circumference of the front wheel is 0.5 meters less than the circumference of the rear wheel, the circumference of the front wheel is:

8.5 - 0.5 = 8 meters

So, the circumference of the front wheel is 8 meters.

Answer

The circumference of the rear wheel is 8.5 meters and the circumference of the front wheel is 8 meters.