Question

два поезда с двух станции вышли одновременно на встречу друг другу. Скорость первого поезда 60,5 км/час, а второго меньше скорости первого поезда на 20%. Если два поезда встретились, когда первый из них проехал 96,8 км то найдите расстояние между станциями.​ СРОЧНО ПОЖАЛУЙСТА

Answer 1

Ответ:

Пошаговое объяснение:

100%-20%=80%=80/100=0,8 часть от целого

60,5*0,8= 48,4 км/час

t=s/v=96,8/60,5=1,6 часа время движения

48,4+60,5=108,9 скорость сближения

s=vt=108,9*1,6=174,24 км

Answer 2

#### Problem Analysis We are given two trains that depart from two different stations simultaneously and travel towards each other. The speed of the first train is 60.5 km/h, and the speed of the second train is 20% less than the speed of the first train. We are also given that when the first train has traveled 96.8 km, the two trains meet. We need to find the distance between the two stations. #### Solution Let's denote the distance between the two stations as **d**. We know that the time taken by the first train to travel 96.8 km is the same as the time taken by the second train to travel **d - 96.8** km. We can use the formula **speed = distance / time** to calculate the time taken by each train. For the first train: - Speed = 60.5 km/h - Distance = 96.8 km - Time = Distance / Speed For the second train: - Speed = 80% of the speed of the first train (0.8 * 60.5 km/h) - Distance = **d - 96.8** km - Time = Distance / Speed Since the two trains depart simultaneously, the time taken by both trains should be equal. Therefore, we can set up the following equation: ``` 96.8 / 60.5 = (d - 96.8) / (0.8 * 60.5) ``` Now, we can solve this equation to find the value of **d**. #### Calculation Let's calculate the value of **d** using the given information. ``` 96.8 / 60.5 = (d - 96.8) / (0.8 * 60.5) ``` Simplifying the equation: ``` 1.6 = (d - 96.8) / (0.8) ``` Multiplying both sides by 0.8: ``` 1.6 * 0.8 = d - 96.8 ``` ``` 1.28 = d - 96.8 ``` Adding 96.8 to both sides: ``` d = 1.28 + 96.8 ``` ``` d = 98.08 ``` #### Answer The distance between the two stations is **98.08 km**. #### Conclusion In this problem, we found the distance between two stations given the speeds of two trains and the distance traveled by one of the trains. The distance between the two stations was calculated to be 98.08 km.