Question

Два путника вышли одновременно навстречу друг другу и встретились через 4 часа. на какую часть первоночального расстояния они сближались каждый час

Answer 1

Весь путь примем за 1, за час проходили 1/4 1/4 часть пути за час

Answer 2

Problem Analysis

Two travelers start walking towards each other at the same time and meet after 4 hours. We need to find out how much of the initial distance they covered every hour.

Solution

Let's denote the speed of the first traveler as v and the speed of the second traveler as u. The total distance between them is S.

The distance covered by the first traveler in 4 hours is 4v, and the distance covered by the second traveler in 4 hours is 4u. Since they meet after 4 hours, the sum of the distances covered by both travelers is equal to the total distance between them: 4v + 4u = S.

We need to find out how much of the initial distance they covered every hour. This can be calculated by finding the fraction of the total distance covered by each traveler in one hour.

Calculation

To find the fraction of the total distance covered by each traveler in one hour, we can divide the distance covered by each traveler in 4 hours by 4.

The fraction of the initial distance covered by the first traveler every hour is v/1. The fraction of the initial distance covered by the second traveler every hour is u/1.

Conclusion

Therefore, the first traveler covers v/4 of the initial distance every hour, and the second traveler covers u/4 of the initial distance every hour.

Answer: The first traveler covers v/4 of the initial distance every hour, and the second traveler covers u/4 of the initial distance every hour.