Question

СРОЧНО! ДАМ 40 БАЛОВ! Відстань між пунктами A і B автомобіль проїхав за 1,3 години, а автобус — за 2,2 години. Визнач швидкість кожної машини, якщо автомобіль рухався на 36 км/год швидше, ніж автобус.

Answer 1

Ответ:

52 км/ч; 88 км/ч

Пошаговое объяснение:

Скорость автобуса = х км/ч

Скорость машины = х + 36 км/ч

1,3 * (х + 36) = 2,2 * х

1,3х + 46,8 = 2,2х

1,3х - 2,2х = - 46,8

-0,9х = -46,8

х = -46,8 : (-0,9)

х = 52

Скорость автобуса = (х) = 52 км/ч

Скорость машины = (х + 36) = 52 + 36 = 88 км/ч

Проверка:

1,3 * 88 = 2,2 * 52

114,4 = 114,4

Answer 2

Calculating Speed of Car and Bus

To calculate the speed of the car and the bus, we can use the formula:

Speed = Distance / Time

Given: - Time taken by the car (t_car) = 1.3 hours - Time taken by the bus (t_bus) = 2.2 hours - Speed of the car (s_car) = 36 km/h faster than the speed of the bus

Let's denote the speed of the bus as s_bus and the speed of the car as s_car.

We can set up the following equations based on the given information:

1. Distance = Speed × Time 2. s_car = s_bus + 36 (as the car is 36 km/h faster than the bus)

Now, let's solve for the speeds of the car and the bus using the given information.

Calculating Speed of the Car

Using the formula Distance = Speed × Time for the car: - Distance = s_car × t_car

Calculating Speed of the Bus

Using the formula Distance = Speed × Time for the bus: - Distance = s_bus × t_bus

Now, we can set up the equation for the speed of the car and solve for it.

Solution

Given: - Time taken by the car (t_car) = 1.3 hours - Time taken by the bus (t_bus) = 2.2 hours - Speed of the car (s_car) = 36 km/h faster than the speed of the bus

Using the formula Distance = Speed × Time: - Distance_car = s_car × t_car - Distance_bus = s_bus × t_bus

We also know that s_car = s_bus + 36.

Substituting the values and solving the equations will give us the speeds of the car and the bus.