Question

Задача 4 класса Расстояние между домами Артура и Пети 160м. Они вышли в школу одновременно. Артур шел со скоростью 100 м/мин, а Петя шел вдогонку Артуру со скоростью 120м/мин. Через сколько минут Петя догонит Артура?

Answer 1

Мне кажется что через 20 минут..........

Answer 2

Task Analysis

To solve this problem, we need to determine the time it will take for Petya to catch up with Arthur while walking at different speeds.

Solution

First, we can calculate the relative speed at which Petya is catching up with Arthur. Then, we can use this relative speed to find the time it takes for Petya to catch up with Arthur.

Relative Speed Calculation

The relative speed at which Petya is catching up with Arthur can be calculated by subtracting Arthur's speed from Petya's speed.

Relative Speed = Petya's Speed - Arthur's Speed

Using the given values: Petya's Speed = 120 m/min Arthur's Speed = 100 m/min

Relative Speed = 120 m/min - 100 m/min = 20 m/min

Time Calculation

To find the time it takes for Petya to catch up with Arthur, we can use the formula:

Time = Distance / Relative Speed

Given: Distance = 160 m Relative Speed = 20 m/min

Time = 160 m / 20 m/min = 8 min

Conclusion

Petya will catch up with Arthur in 8 minutes.