Question

СРОЧНО ПЛИИЗ!!! Мотоциклист проехал 4 часа по грунтовой дороге и 3 часа по шоссе. весь путь составил 195 км. скорость мотоциклиста по гр. дороге была на30 км в час больше скорости по шоссе. найди обе скорости.

Answer 1

Пусть скорость по шоссе - х км\ч
тогда по грунт.дороге -х+30   км\ч
путь по дороге за 4 ч-   4(х+30) км
путь по шоссе за 3 ч -3х  км
весь путь  -    3х+4(х+30)=195
   3х+4(х+30)=195
   3х+4х+120=195
   7х=195-120
    7х=75
    х=75:7
   х=10 5\7 км\ч   скорость по шоссе
 10 5\7+30=40 5\7 км\сч   скорость по грунтовой дороге

Answer 2

Вот это что получилось у меня, прости если подчерк не понятный

Answer 3

Calculation of Speeds

To find the speeds of the motorcyclist on the dirt road and the highway, we can use the formula:

Speed = Distance / Time

Let's calculate the speeds step by step.

1. Distance traveled on the dirt road: - The motorcyclist traveled for 4 hours on the dirt road. - Let's assume the speed on the dirt road is x km/h. - Using the formula, we can write: x km/h * 4 hours = Distance on dirt road.

2. Distance traveled on the highway: - The motorcyclist traveled for 3 hours on the highway. - The speed on the highway is 30 km/h less than the speed on the dirt road. - Using the formula, we can write: (x - 30) km/h * 3 hours = Distance on highway.

3. Total distance traveled: - The total distance traveled is given as 195 km. - Using the formula, we can write: Distance on dirt road + Distance on highway = 195 km.

Now, let's solve these equations to find the speeds.

Calculation Steps:

1. Distance on dirt road: 4x km. 2. Distance on highway: 3(x - 30) km. 3. Total distance: 4x + 3(x - 30) = 195 km.

Simplifying the equation:

4x + 3x - 90 = 195 7x - 90 = 195 7x = 285 x = 285 / 7 x ≈ 40.71

The speed on the dirt road is approximately 40.71 km/h.

To find the speed on the highway, we substitute the value of x into the equation:

Speed on highway = x - 30 ≈ 40.71 - 30 ≈ 10.71 km/h.

Therefore, the speed on the highway is approximately 10.71 km/h.

Please note that these calculations are based on the given information and assumptions made.