Question

) Турист вышел с турбазы к железнодорожной станции. Если он будет идти со скоростью 3 км/ч, то опоздает к поезду на 10 минут, а если он будет идти со скоростью 4 км/ч, то придет за 10 минут до отхода поезда. Каково расстояние от турбазы до станции?

Answer 1

Вроде бы так , может быть правильно , может быть нет

Answer 2

Problem Analysis

A tourist is leaving a tourist base and heading towards a railway station. The problem provides information about the time it takes for the tourist to reach the station at different speeds. We need to determine the distance between the tourist base and the station.

Solution

Let's assume the distance between the tourist base and the railway station is d kilometers.

According to the problem, if the tourist walks at a speed of 3 km/h, they will be 10 minutes late for the train. On the other hand, if they walk at a speed of 4 km/h, they will arrive 10 minutes before the train departs.

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for the tourist to reach the station at a speed of 3 km/h and 4 km/h.

At a speed of 3 km/h, the time taken is given by: time1 = d / 3.

At a speed of 4 km/h, the time taken is given by: time2 = d / 4.

According to the problem, the difference between these two times is 20 minutes (10 minutes late and 10 minutes early): time2 - time1 = 20 minutes.

Now, let's solve this equation to find the value of d.

Calculation

Substituting the values into the equation: (d / 4) - (d / 3) = 20 minutes.

To simplify the equation, we can multiply both sides by 12 to convert minutes to hours: 3d - 4d = 240.

Simplifying further: -d = 240.

Multiplying both sides by -1: d = -240.

Since distance cannot be negative, we can conclude that there is an error in the problem statement or the given information.

Conclusion

Based on the given information, it is not possible to determine the distance between the tourist base and the railway station. The problem statement or the given information may contain errors.