Question

Из двух городов одновременно навстречу друг другу выехали легковой автомобиль и грузовик. Скорость легкового автомобиля 70 км/ч, а грузовика 45 км/ч. Найдите расстояние между городами, если через 5 ч расстояние между автомобилем и грузовиком было 825 км.

Answer 1

1) 70+45=115(км/час) скорость сближения машин                                               2) 115*5=575(км) проехали машины за 5 часов                                                 3) 825+575=1400(км) расстояние между городами                                                 Ответ: Между городами расстояние 1400(км)

Answer 2

Calculating the Distance Between the Cities

To find the distance between the two cities, we can use the formula: distance = speed * time

Given: - Speed of the car (C) = 70 km/h - Speed of the truck (T) = 45 km/h - Time = 5 hours - Distance between the car and the truck after 5 hours = 825 km

Using the formula, we can calculate the distance between the cities.

Calculations

The distance traveled by the car after 5 hours = 70 km/h * 5 h = 350 km The distance traveled by the truck after 5 hours = 45 km/h * 5 h = 225 km

The total distance covered by both vehicles after 5 hours = 350 km + 225 km = 575 km

Given that the distance between the car and the truck after 5 hours is 825 km, we can use this information to find the initial distance between the cities.

Solution

Let's denote the initial distance between the cities as D.

According to the given information, the relative distance between the car and the truck after 5 hours is 825 km. This means that the total distance covered by both vehicles after 5 hours is 825 km + 825 km = 1650 km.

So, the initial distance between the cities (D) can be calculated as: D = Total distance covered by both vehicles after 5 hours = 1650 km

Therefore, the initial distance between the cities is 1650 km.

I hope this helps! If you have further questions, feel free to ask.