Question

Решите пожалуйста задачу. Очень нужно!!!!! 8. Расстояние от дома до школы брат проходит за 40 минут, а я за 30 минут. Однажды брат вышел в школу на 5 минут раньше меня. Через сколько минут я догоню брата?

Answer 1

Примерно: вы собирались выйти в 8 часов утра 
1)8ч-5мин=7ч 55 мин 
2)7ч 55 мин+40=8ч 35 мин он будет в школе
3) 8+30=8 ч 30мин я буду в школе
4)8 ч 35- 8ч 30=5 мин
Ответ через 5 минут я догоню брата

Answer 2

Problem Analysis

To solve this problem, we need to determine the time it takes for the person to catch up to their brother. We know that the brother takes 40 minutes to reach school, while the person takes 30 minutes. Additionally, the brother left for school 5 minutes earlier than the person. We need to find out how long it will take for the person to catch up to their brother.

Solution

To find the time it takes for the person to catch up to their brother, we can calculate the difference in their walking speeds. Since the brother takes 40 minutes to reach school and the person takes 30 minutes, the brother's walking speed is slower.

Let's assume the distance from home to school is d.

The brother's walking speed can be calculated as d/40 (distance divided by time), and the person's walking speed can be calculated as d/30.

Since the brother left 5 minutes earlier, he has already covered a distance of (d/40) * 5.

To catch up to the brother, the person needs to cover this distance. We can calculate the time it takes for the person to cover this distance by dividing it by the person's walking speed, which is d/30.

Therefore, the time it takes for the person to catch up to their brother is [(d/40) * 5] / (d/30).

Simplifying this expression, we get (5/40) * 30 = 3.75 minutes.

So, the person will catch up to their brother in approximately 3.75 minutes.

Answer

The person will catch up to their brother in approximately 3.75 minutes.