Question

От города до посёлка автомобиль проехал за 1 час 15 минут.Если бы скорость автомобиля была бы на 10 километров в час меньше,то этот путь занял бы 1 час 30 минут.С какой скоростью ехал автомобиль,и какое расстояние он проехал?

Answer 1

1час 15мин = 1,25ч
1час 30мин = 1,5ч
x -это скорость

1,25x = 1,5(x-10)
1,25x=1,5x-15
1,5x-1,25x=15
0,25x=15
x=15:0,25
x=60км/ч скорость автомобиля
60*1,25=75км проехал автомобиль

Answer 2

Problem Analysis

We are given that a car traveled from a city to a village in 1 hour and 15 minutes. If the car's speed were 10 kilometers per hour slower, the journey would have taken 1 hour and 30 minutes. We need to find the speed at which the car was traveling and the distance it covered.

Solution

Let's assume the car's speed is x kilometers per hour and the distance it traveled is d kilometers.

From the given information, we can set up the following equations:

Equation 1: d = x * (1 hour + 15 minutes)

Equation 2: d = (x - 10) * (1 hour + 30 minutes)

To solve for x and d, we can equate the right sides of the two equations:

x * (1 hour + 15 minutes) = (x - 10) * (1 hour + 30 minutes)

Now, let's solve this equation step by step.

Calculation

First, let's convert the time in minutes to hours:

1 hour + 15 minutes = 1.25 hours

1 hour + 30 minutes = 1.5 hours

Now, we can rewrite the equation as:

x * 1.25 = (x - 10) * 1.5

Simplifying further:

1.25x = 1.5x - 15

Subtracting 1.5x from both sides:

0.25x = 15

Dividing both sides by 0.25:

x = 60

So, the car was traveling at a speed of 60 kilometers per hour.

To find the distance, we can substitute the value of x into Equation 1:

d = 60 * 1.25

d = 75

Therefore, the car traveled a distance of 75 kilometers.

Answer

The car was traveling at a speed of 60 kilometers per hour and it covered a distance of 75 kilometers.