Question

Велосипедист выехал из поселка со скоростью 5 м\с. Когда он был на расстоянии 300 м от него, за ним вдогонку отправился мотоциклист. Скорость мотоциклиста в 3 раза больше скорости велосипедиста. На каком расстоянии от поселка мотоциклист догонит велосипедиста?

Answer 1

Ответ: 1) 3*5=15 (м\с) - скорость мотоциклиста.

2) 15-5=10 (м\с) - скорость сближения.

3) 300:10=30 (с) - догонит через 30 секунд.

4) 30*15=450 (м) - 450 м

Ответ: на 450 м расстоянии от посёлка мотоциклист догонит велосипедиста.

Answer 2

Ответ:

450 метров от посёлка

Пошаговое объяснение:

Answer 3

#### Problem Analysis We are given that a cyclist starts from a village with a speed of 5 m/s. When the cyclist is at a distance of 300 m from the village, a motorcyclist starts chasing the cyclist. The speed of the motorcyclist is 3 times the speed of the cyclist. We need to determine at what distance from the village the motorcyclist will catch up to the cyclist. #### Solution Let's assume that the time taken by both the cyclist and the motorcyclist to reach the meeting point is the same. We can use the formula `distance = speed * time` to find the time taken by each of them. Let's denote: - Distance traveled by the cyclist as `Dc` - Distance traveled by the motorcyclist as `Dm` - Speed of the cyclist as `Sc` (given as 5 m/s) - Speed of the motorcyclist as `Sm` (3 times the speed of the cyclist, so 3 * 5 = 15 m/s) - Time taken by both the cyclist and the motorcyclist as `t` We can set up the following equations: 1. For the cyclist: `Dc = Sc * t` 2. For the motorcyclist: `Dm = Sm * t` Since the motorcyclist starts chasing the cyclist when the cyclist is at a distance of 300 m from the village, we can also set up the equation: 3. `Dc + 300 = Dm` Now, let's solve these equations to find the value of `Dm`. From equation 1, we have: `Dc = Sc * t` From equation 2, we have: `Dm = Sm * t` Substituting the values of `Sc` and `Sm`, we get: `Dc = 5 * t` `Dm = 15 * t` Substituting these values in equation 3, we get: `5 * t + 300 = 15 * t` Simplifying the equation, we have: `10 * t = 300` Dividing both sides of the equation by 10, we get: `t = 30` Now, we can substitute the value of `t` in equation 2 to find `Dm`: `Dm = 15 * t = 15 * 30 = 450` Therefore, the motorcyclist will catch up to the cyclist at a distance of 450 meters from the village. #### Answer The motorcyclist will catch up to the cyclist at a distance of **450 meters** from the village.