Question

В полдень Света вышла из посёлка и пошла к озеру со скоростью 4 кмв час. Одновременно от озера к посёлку по той же дороге направился Коля на велосипеде. Через 2/5 часа они оба не остонавливаясь миновали дуб и продолжили путь с той же скоростью. Сколько минут шла Света до встречи?

Answer 1

2/5часа=60*2/5=24мин

24 минуты Света шла до встречи

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Answer 2

Problem Analysis

We are given that Svetlana left the village at noon and walked towards the lake at a speed of 4 km/h. At the same time, Kolya started cycling from the lake towards the village on the same road. After 2/5 hours, they both passed a oak tree without stopping and continued at the same speed. We need to determine how many minutes Svetlana walked before they met.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's break down the problem step by step:

1. We know that Svetlana walked for a certain amount of time before they met. Let's call this time t. 2. During this time, Svetlana covered a certain distance, which we can calculate using the formula distance = speed × time. The speed is given as 4 km/h, and the time is t. 3. Kolya also traveled for the same amount of time t from the lake towards the village at the same speed of 4 km/h. Therefore, Kolya also covered the same distance as Svetlana during this time. 4. After 2/5 hours, they both passed a oak tree without stopping and continued at the same speed. This means that the distance covered by both Svetlana and Kolya during this time is the same as the distance they covered before they met. 5. We can set up an equation to solve for t. The distance covered by Svetlana before they met is equal to the distance covered by Kolya before they met. This can be expressed as: 4t = 4 × (2/5). 6. Solving this equation will give us the value of t, which represents the time Svetlana walked before they met. 7. Finally, we can convert the time t from hours to minutes to answer the question.

Let's calculate the solution step by step:

1. Calculate the distance covered by Svetlana before they met: - Distance = Speed × Time = 4 km/h × t hours = 4t km.

2. Calculate the distance covered by Kolya before they met: - Distance = Speed × Time = 4 km/h × (2/5) hours = 8/5 km.

3. Set up the equation: - 4t = 8/5.

4. Solve for t: - t = (8/5) / 4 = 2/5 hours.

5. Convert t to minutes: - 2/5 hours × 60 minutes/hour = 24 minutes.

Answer

Svetlana walked for 24 minutes before they met.

Explanation

Svetlana and Kolya both traveled at a speed of 4 km/h. After 2/5 hours, they both passed an oak tree without stopping. Since they both covered the same distance during this time, we can set up an equation to solve for the time Svetlana walked before they met. By solving the equation, we find that Svetlana walked for 2/5 hours, which is equivalent to 24 minutes.