Question

Велосепидист ехал 2 часа по лесной дороге и 1,5 часа по шоссе. Всего проехал 48 км. Скорость велосипедиста по шоссе была на 4 км/ч больше, чем на лесной дороге. С какой скоростью ехал велосипедист по шоссе и по лесной дороге?

Answer 1

X - скорость на лесной дороге, х+4 - скорость по шоссе, тогда
2х + (х+4)1,5 = 48, отсюда скорость по лесной дороге 12 км/час, а по шоссе 12+4 =16км/час

Answer 2

Problem Analysis

To find the speed of the cyclist on the highway and the forest road, we can set up a system of equations based on the given information. Let's denote the speed on the forest road as x km/h and the speed on the highway as x + 4 km/h. We can then use the formula distance = speed × time to set up the equations.

Solution

Let's solve the system of equations to find the speed of the cyclist on the highway and the forest road.

Let's denote the speed on the forest road as x km/h and the speed on the highway as x + 4 km/h.

The cyclist traveled for 2 hours on the forest road and 1.5 hours on the highway, covering a total distance of 48 km.

Based on the formula distance = speed × time, we can set up the following equations:

Equation 1: 2x = distance on the forest road

Equation 2: 1.5(x + 4) = distance on the highway

We know that the total distance covered is 48 km, so we can write:

Equation 3: 2x + 1.5(x + 4) = 48

Now, let's solve this equation to find the value of x.

2x + 1.5x + 6 = 48

3.5x + 6 = 48

3.5x = 42

x = 42 / 3.5

x = 12

Therefore, the speed of the cyclist on the forest road is 12 km/h.

The speed on the highway is 12 + 4 = 16 km/h.

Answer

The cyclist traveled at a speed of 12 km/h on the forest road and 16 km/h on the highway.