Question

Из дома и школы, расстояние между которыми 500м, вышли одновременно и пошли в одном направлении оля и аня. Скорость оли - 50м/мин, а аня движется со скоростью 100м/мин вдогонку за олей. Через сколько минут аня догонит олю?

Answer 1

1)100-50=50 м\мин - скорость сближения
2)500:50=10 мин

Answer 2

Problem Analysis

We are given that Olya and Anya leave their home and school simultaneously and walk in the same direction. Olya walks at a speed of 50 m/min, while Anya walks at a speed of 100 m/min, catching up to Olya. We need to determine how many minutes it takes 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.

The distance between Olya and Anya is given as 500 m. To find the time it takes for Anya to catch up to Olya, we can divide the distance by the relative speed:

Time = Distance / Relative Speed

Substituting the given values:

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.