Question

Из двух городов одновременно навстречу друг друге отправляются два велосипедиста. Проехав некоторую часть пути, первый велосипедист сделал остановку на 6 минут, а затем продолжил движение до встречи со вторым велосипедистом. Расстояние между городами составляет 162 км, скорость первого велосипедиста равна 15 км/ч, скорость второго - 30 км/ч. Определите расстояние от города, из которго выехал второй

Answer 1

1)12*40/60=8(КМ) ПРоехал другой велосипедист
2)92-8=84(км) проедут 2 велосипедиста
3)30+12=42(км/ч)скорость сближения
4)84:42=2(ч)время до встречи вел.
5)92-(30*2)=32(км) расстояние от города из которого выехал другой
Ответ:32 км

Answer 2

Problem Analysis

We have two cyclists traveling towards each other from two different cities. The first cyclist stops for 6 minutes and then continues until they meet the second cyclist. We are given the distance between the cities (162 km) and the speeds of the two cyclists (15 km/h and 30 km/h). We need to determine the distance from the city where the second cyclist started.

Solution

To solve this problem, we can use the formula: Distance = Speed × Time.

Let's assume that the distance from the city where the second cyclist started is x km.

The first cyclist travels a distance of 162 - x km before stopping for 6 minutes. The time taken by the first cyclist to cover this distance is given by Time = Distance / Speed.

The second cyclist travels a distance of x km during this time. The time taken by the second cyclist to cover this distance is also given by Time = Distance / Speed.

Since the total time taken by both cyclists is the same, we can equate the two time expressions and solve for x.

Calculation

Let's calculate the value of x using the given information.

The distance traveled by the first cyclist before stopping is 162 - x km. The time taken by the first cyclist to cover this distance is (162 - x) / 15 hours.

The distance traveled by the second cyclist during this time is x km. The time taken by the second cyclist to cover this distance is x / 30 hours.

Since the total time taken by both cyclists is 6 minutes (or 0.1 hours), we can equate the two time expressions:

(162 - x) / 15 = x / 30 + 0.1

Let's solve this equation to find the value of x.

Solution

To solve the equation **(