Question

Автомобиль находится в пути 5ч. Из этого времени t ч он ехал по проселочной дороге,остальное время- по шоссе. Какой путь проехал автомобиль,если по шоссе он ехал со скоростью а км\ч,а по проселку со скоростью, на 40 км\ч меньшей?( краткую схему пож)

Answer 1

По пр.дороге а*t ,по шоссе а - 40км/ч,по шоссе 5- а*t, путь 5-a*t +a*t

Answer 2

Problem Analysis

We are given that a car is traveling for 5 hours. During this time, it travels at a speed of 'a' km/h on the highway and 'a - 40' km/h on the dirt road. We need to find the total distance traveled by the car.

Solution

To find the total distance traveled by the car, we need to calculate the distance traveled on the highway and the distance traveled on the dirt road separately, and then add them together.

Let's assume the time spent on the highway is 't' hours. Since the total travel time is 5 hours, the time spent on the dirt road would be '5 - t' hours.

The distance traveled on the highway can be calculated using the formula: distance = speed * time. Therefore, the distance traveled on the highway is 'a * t' km.

Similarly, the distance traveled on the dirt road is '(a - 40) * (5 - t)' km.

To find the total distance traveled, we add the distances traveled on the highway and the dirt road: 'a * t + (a - 40) * (5 - t)' km.

Let's calculate the total distance traveled by the car.

Calculation

Given: - Total travel time = 5 hours - Speed on the highway = 'a' km/h - Speed on the dirt road = 'a - 40' km/h

We need to find the total distance traveled by the car.

Using the formula: distance = speed * time, we can calculate the distance traveled on the highway as 'a * t' km.

Similarly, the distance traveled on the dirt road is '(a - 40) * (5 - t)' km.

The total distance traveled is the sum of the distances traveled on the highway and the dirt road: 'a * t + (a - 40) * (5 - t)' km.

Let's substitute the given values and calculate the total distance traveled.

Calculation:

Given: - Total travel time = 5 hours - Speed on the highway = 'a' km/h - Speed on the dirt road = 'a - 40' km/h

To find the total distance traveled, we need to calculate the distance traveled on the highway and the dirt road separately, and then add them together.

Distance traveled on the highway = speed on the highway * time spent on the highway = 'a * t' km.

Distance traveled on the dirt road = speed on the dirt road * time spent on the dirt road = '(a - 40) * (5 - t)' km.

Total distance traveled = distance traveled on the highway + distance traveled on the dirt road = 'a * t + (a - 40) * (5 - t)' km.

Let's simplify the equation and calculate the total distance traveled.

Calculation:

Given: - Total travel time = 5 hours - Speed on the highway = 'a' km/h - Speed on the dirt road = 'a - 40' km/h

To find the total distance traveled, we need to calculate the distance traveled on the highway and the dirt road separately, and then add them together.

Distance traveled on the highway = speed on the highway * time spent on the highway = 'a * t' km.

Distance traveled