Question

Расстояние от колхоза до станции, равное 6 км, пешеход проходит за час, а велосипедист проезжает за 30 мин. На каком расстоянии от колхоза и через сколько времени после начала движения они встретятся, если одновременно отправятся велосипедист из колхоза, а пешеход со станции? Ответ: 4 км, 20 минут

Answer 1

6000/60=100 м/мин скорость пешехода 
6000/30=200 м/мин скорость велосипедиста
200+100=300м/мин скорость сближения
6000/300=20 мин они затратят
20*100=2000м пройдет пешеход за это время
20*200=4000м проедет велосипедист за это время
Ответ:они встретятся через двадцать мин. на расстоянии 4 км от колхоза

Answer 2

Problem Analysis

We are given that the distance from the collective farm (колхоз) to the station is 6 km. The pedestrian takes 1 hour to walk this distance, while the cyclist takes 30 minutes. We need to determine the distance from the collective farm and the time it takes for them to meet if they start simultaneously, with the cyclist starting from the collective farm and the pedestrian starting from the station.

Solution

Let's assume that the time it takes for them to meet is t hours. Since the pedestrian takes 1 hour to cover the distance of 6 km, their speed is 6 km/h. Similarly, since the cyclist takes 30 minutes (0.5 hours) to cover the same distance, their speed is 12 km/h.

To find the distance from the collective farm, we can use the formula:

Distance = Speed × Time

For the pedestrian, the distance covered is 6 km and the time taken is t hours. Therefore, the equation becomes:

6 = 6 × t

Simplifying, we find:

t = 1 hour

So, it will take 1 hour for the pedestrian to reach the meeting point.

To find the distance from the collective farm, we can use the formula again:

Distance = Speed × Time

For the cyclist, the distance covered is 6 km and the time taken is t - 0.5 hours (since the cyclist starts 30 minutes earlier). Therefore, the equation becomes:

6 = 12 × (t - 0.5)

Simplifying, we find:

t = 1.5 hours

So, it will take 1.5 hours for the cyclist to reach the meeting point.

Therefore, the distance from the collective farm to the meeting point is 4 km (since the cyclist covers 4 km in 1.5 hours), and the time after the start of the movement when they meet is 1 hour and 30 minutes (since the cyclist starts 30 minutes earlier).

Answer

The distance from the collective farm to the meeting point is 4 km, and they will meet 1 hour and 30 minutes after the start of their movement.