Question

Расстояние между двумя городами автомобиль преодалевает за 3 часа, а автобус, скрость которого на 18 км / час меньше за 3,75. Определите скорость автомобиля и расстояние между городами

Answer 1

Х - скорость автомобиля.
х - 18 - скорость автобуса.
3х = 3,75(х - 18)
3х = 3,75х - 67,5
3х  - 3,75х = - 67,5
-0,75х = - 67,5
х = - 67,5: (-0.75)
х = 90км/ч - скорость автомобиля.
90 -18 = 72км/ч - скорость автобуса.
90 * 3 = 270км - расстояние между городами.

Answer 2

Calculating the Speed of the Car and the Distance Between the Cities

To calculate the speed of the car and the distance between the cities, we can use the formula:

Distance = Speed × Time

Given: - Car's speed = x km/h - Bus's speed = (x - 18) km/h - Time taken by the car = 3 hours - Time taken by the bus = 3.75 hours

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

1. For the car: - Distance = x km/h × 3 hours

2. For the bus: - Distance = (x - 18) km/h × 3.75 hours

By equating the two distances, we can solve for the speed of the car and the distance between the cities.

Calculating the Speed of the Car

Let's first calculate the speed of the car:

Distance covered by the car = Speed of the car × Time taken by the car

Distance covered by the bus = Speed of the bus × Time taken by the bus

Setting the two distances equal to each other:

Speed of the car × 3 hours = (Speed of the car - 18) km/h × 3.75 hours

Solving for the speed of the car:

3x = 3.75x - 67.5

0.75x = 67.5

x = 90

So, the speed of the car is 90 km/h.

Calculating the Distance Between the Cities

Now, let's calculate the distance between the cities using the speed of the car:

Distance = Speed × Time

Distance = 90 km/h × 3 hours

Distance = 270 km

Therefore, the distance between the two cities is 270 kilometers.

So, based on the given information, the speed of the car is 90 km/h and the distance between the cities is 270 kilometers.