Question

из дома и школы расстояния между которыми 500 м. вышли одновременно и пошли водном напровлении оля и аня. скорость оли-50м\мин а аня движется 100м\мин вдогонку за олей. через сколько минут аня догонит олю?

Answer 1

100-50= 50м скорость сближения
500:50=10 минут 
 10*50=500метров пройдет Оля
10*100=1000метров  пройдет Аня ( естественно она пройдет то расстояние 500 метров и  которое было между ними)

Answer 2

Problem Analysis

We are given that Olya and Anya start from home and school, respectively, with a distance of 500 meters between them. Olya walks at a speed of 50 meters per minute, while Anya walks at a speed of 100 meters per minute, catching up to Olya from behind. We need to determine 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 - 50 = 50 meters per minute.

Since Anya is catching up to Olya, we can consider their relative motion. Anya needs to cover the initial distance of 500 meters between them. The time taken to cover this distance can be calculated using the formula:

Time = Distance / Speed

Substituting the values, we have:

Time = 500 meters / 50 meters per minute

Simplifying, we find:

Time = 10 minutes

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

Answer

Anya will catch up to Olya in 10 minutes.