Question

Помогите решить задачу: Когда Николай прошёл ДВЕ ПЯТЫХ длины дорожки, ему осталось пройти 30 метров. Какова длина дорожки?

Answer 1

Problem Analysis

To solve this problem, we need to find the length of the track based on the information given. According to the problem statement, when Nikolai has completed two-fifths of the track, he still has 30 meters left to go. We need to determine the total length of the track.

Solution

Let's assume the length of the track is x meters. According to the problem, when Nikolai has completed two-fifths of the track, he still has 30 meters left to go. This can be expressed as an equation:

2/5 * x + 30 = x

To solve this equation, we can follow these steps:

1. Multiply both sides of the equation by 5 to eliminate the fraction: 5 * (2/5 * x + 30) = 5 * x 2. Simplify the equation: 2x + 150 = 5x 3. Subtract 2x from both sides of the equation: 150 = 3x 4. Divide both sides of the equation by 3: x = 50

Therefore, the length of the track is 50 meters.

Answer

The length of the track is 50 meters.