Question

Автомобиль двигался 2 часа по шоссе и 3 часа по грунтовой дороге и преодолел 375 км. Его скорость по грунтовой дороге была на 25 км/ч меньше скорости движения по шоссе. Найдите скорость движения автомобиля по шоссе.

Answer 1

375:(2+3)=75(км/ч)
75-25=50
75+25=100(км/ч)-скорость по шоссе

Answer 2

Problem Analysis

We are given that a car traveled for 2 hours on a highway and 3 hours on a dirt road, covering a total distance of 375 km. The speed on the dirt road was 25 km/h less than the speed on the highway. We need to find the speed of the car on the highway.

Solution

Let's assume the speed of the car on the highway is x km/h. Since the speed on the dirt road is 25 km/h less than the speed on the highway, the speed on the dirt road would be (x - 25) km/h.

We can use the formula distance = speed × time to calculate the distance traveled on each road.

The distance traveled on the highway can be calculated as (x km/h) × (2 hours) = 2x km.

The distance traveled on the dirt road can be calculated as ((x - 25) km/h) × (3 hours) = 3(x - 25) km.

According to the problem, the total distance traveled is 375 km. Therefore, we can write the equation:

2x + 3(x - 25) = 375

Simplifying the equation:

2x + 3x - 75 = 375

5x - 75 = 375

5x = 450

x = 90

Therefore, the speed of the car on the highway is 90 km/h.

Answer

The speed of the car on the highway is 90 km/h.