Question

Машина проехала путь длиной 360 км. Одну четвертую часть она пути она ехала по лесной дороге,остальную часть она проехала за 5 часов по шоссе с одинаковой скоростью. С какой скоростью машина ехала по шоссе ?

Answer 1

360:4*1=90км ехала по лесной дороге

360-90=270км ехала по шоссе

270:5=54км/ч скорость машины по шоссе

Answer 2

(360-360:4):5=54(скорость)

Answer 3

Problem Analysis

We are given that a car traveled a distance of 360 km. One-fourth of the distance was covered on a forest road, and the remaining distance was covered on a highway in 5 hours at a constant speed. We need to find the speed at which the car traveled on the highway.

Solution

To find the speed at which the car traveled on the highway, we can use the formula:

Speed = Distance / Time

Let's calculate the distance traveled on the highway first. Since one-fourth of the total distance was covered on the forest road, the remaining three-fourths of the distance were covered on the highway. Therefore, the distance traveled on the highway is:

Distance on Highway = Total Distance - Distance on Forest Road

Substituting the given values, we have:

Distance on Highway = 360 km - (1/4) * 360 km

Simplifying the equation:

Distance on Highway = (3/4) * 360 km

Now, we can calculate the speed on the highway using the formula:

Speed on Highway = Distance on Highway / Time

Substituting the given values, we have:

Speed on Highway = (3/4) * 360 km / 5 hours

Simplifying the equation:

Speed on Highway = 270 km / 5 hours

Calculating the value:

Speed on Highway = 54 km/h

Therefore, the car traveled on the highway at a speed of 54 km/h.

Answer

The car traveled on the highway at a speed of 54 km/h.