Question

Поезд шел 2 ч от станции А до станции В со скоростью 60 км/ч и 3 ч от станции В до станции С. С какой скоростью шел поезд от станции В до станции С, если средняя скорость его движения на всем пути от станции А до станции С составила 61,2 км/ч?

Answer 1

1)2ч+3ч=5ч- затраченное время на весь путь

2)61,2×5=306 км - весь путь

3)60×3=180 км-путь от станции А до В

4)306-180=126км - путь от В до С

5)126:2=63 км/ч- скоростт от В до С

Answer 2

#### Problem Analysis We are given the following information: - The train traveled from station A to station B at a speed of 60 km/h for 2 hours. - The train then traveled from station B to station C for 3 hours. - The average speed of the train for the entire journey from station A to station C was 61.2 km/h. We need to find the speed of the train from station B to station C. #### Solution To find the speed of the train from station B to station C, we can use the formula for average speed: **Average Speed = Total Distance / Total Time** Let's assume the distance from station A to station B is D1 and the distance from station B to station C is D2. We know that the train traveled from station A to station B for 2 hours at a speed of 60 km/h. Therefore, the distance from station A to station B can be calculated as: **D1 = Speed * Time = 60 km/h * 2 hours = 120 km** We also know that the train traveled from station B to station C for 3 hours. Therefore, the distance from station B to station C can be calculated as: **D2 = Speed * Time = ? km/h * 3 hours = ? km** The average speed of the train for the entire journey from station A to station C was 61.2 km/h. Therefore, the total distance from station A to station C can be calculated as: **Total Distance = D1 + D2 = 120 km + ? km = ? km** We can now use the formula for average speed to find the speed of the train from station B to station C: **Average Speed = Total Distance / Total Time** Substituting the values we know: **61.2 km/h = (? km) / (2 hours + 3 hours)** Simplifying the equation: **61.2 km/h = (? km) / 5 hours** To find the speed of the train from station B to station C, we can multiply both sides of the equation by 5: **5 * 61.2 km/h = ? km** **? km = 306 km/h** Therefore, the speed of the train from station B to station C is **306 km/h**. #### Answer The train traveled from station B to station C at a speed of **306 km/h**.