Question

Скорость движения автобуса по шоссе в 1,5 раза больше, чем по грунтовой дороге. с какой скоростью идет автобус по шоссе, если за 6 ч по грунтовой дороге он проходил на 90 км меньше, чем за 6 ч по шоссе? решите уравнением очень надо заранее спасибо

Answer 1

(6 ч - 90 км) = 90км - 1.5
90×1.5= 135 км

Answer 2

Solution:

Let's denote the speed of the bus on the gravel road as x km/h and the speed of the bus on the highway as 1.5x km/h. We are given that the bus traveled 90 km less on the gravel road than on the highway in 6 hours.

The distance traveled by the bus on the gravel road in 6 hours is 6x km, and on the highway, it is 6 * 1.5x = 9x km.

According to the given information, the difference in distance traveled on the two types of roads is 90 km. Therefore, we can set up the equation:

9x - 6x = 90

Solving for x will give us the speed of the bus on the gravel road.

Calculation:

9x - 6x = 90 3x = 90 x = 30

So, the speed of the bus on the gravel road is 30 km/h.

The speed of the bus on the highway is 1.5 * 30 = 45 km/h.

Therefore, the bus travels at a speed of 45 km/h on the highway.

I hope this helps! If you have any other questions, feel free to ask.