Question

Помогите с офармлением срочно нужно Протяженность маршрута группы туристов 1200км. Часть маршрута туристы прошли пешком, часть проехали на поезде,причем пешком они прошли в 7 раз меньшее расстояние, чем проехали на поезде. Сколько километров они проехали на поезде и сколько прошли пешком?

Answer 1

Calculation of Distance Traveled by Foot and Train

To determine the distance traveled by foot and by train, we can set up a system of equations based on the given information.

Let's assume that the distance traveled by foot is represented by x kilometers, and the distance traveled by train is represented by y kilometers.

According to the problem, the total distance traveled by the group of tourists is 1200 kilometers. Therefore, we can write the equation:

x + y = 1200 ---(Equation 1)

It is also mentioned that the distance traveled by foot is 7 times smaller than the distance traveled by train. Mathematically, we can express this as:

x = y/7 ---(Equation 2)

Now, we can solve this system of equations to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can substitute Equation 2 into Equation 1:

(y/7) + y = 1200

Multiplying through by 7 to eliminate the fraction:

y + 7y = 8400

Simplifying:

8y = 8400

Dividing both sides by 8:

y = 1050

Now, we can substitute the value of y back into Equation 2 to find the value of x:

x = (1050)/7 = 150

Answer

Therefore, the group of tourists traveled 150 kilometers by foot and 1050 kilometers by train.

Please let me know if there is anything else I can help you with!