Question

8. За 4 ч. езды на автомашине и 7 ч. езды на поезде туристы проехали 640 км. Какова скорость поезда, если она на 5 км/ч больше Скорости автомашины? с помощью системы​

Answer 1

Ответ:

Пусть х - скорость машины, тогда (х+5) - скорость поезда. Составим уравнение

4х+(х+5)*7=640

4х+7х+35=640

11х=640-35

11х=605

х=55 (км/ч) - скорость машины

Тогда скорость поезда 55+5 = 60 (км/ч)

Answer 2

Calculation of Train Speed

To calculate the speed of the train, we need to use the given information that the tourists traveled 640 km in 4 hours by car and 7 hours by train. We also know that the train's speed is 5 km/h faster than the speed of the car.

Let's denote the speed of the car as x km/h. Since the train's speed is 5 km/h faster, the speed of the train can be represented as (x + 5) km/h.

To find the speed of the train, we can set up the following equation based on the distance traveled:

4x + 7(x + 5) = 640

Simplifying the equation:

4x + 7x + 35 = 640

11x + 35 = 640

11x = 640 - 35

11x = 605

x = 605 / 11

x ≈ 55

Therefore, the speed of the car is approximately 55 km/h.

Since the speed of the train is 5 km/h faster, the speed of the train is approximately 60 km/h.

Please note that the above calculation is based on the given information and assumptions.