Question

Решите задачу. Заранее спасибо. Из дома и школы расстояние между которыми 500 м, вышли одновременно и пошли в одном направлении Оля и Аня. Скорость Оли 50 м/мин, а Аня движется со скоростью 100 м /мин, вдогонку за Олей. Через сколько минут Аня догонит Олю?

Answer 1

100-50=50м/мин - скорость сближения. 500:50=10 мин - Аня догонит Олю. Ответ: через 10 минут Аня догонит Олю.

Answer 2

Решение во вложение          

Answer 3

Problem Analysis

We are given that the distance between home and school is 500 meters. Olya and Anya start walking from home to school at the same time, with Olya walking at a speed of 50 m/min and Anya walking at a speed of 100 m/min, catching up to Olya. We need to find out how many minutes it will take for Anya to catch up to Olya.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between Olya and Anya is the difference between their individual speeds. In this case, the relative speed is 100 m/min - 50 m/min = 50 m/min.

Since Anya is walking faster than Olya, she will catch up to Olya at a rate of 50 m/min. To find the time it takes for Anya to catch up to Olya, we can divide the distance between them (500 meters) by the relative speed (50 m/min):

Time = Distance / Relative Speed

Time = 500 m / 50 m/min = 10 min

Therefore, it will take Anya 10 minutes to catch up to Olya.

Answer

Anya will catch up to Olya in 10 minutes.