Question

Велосипедист был в пути 3 часа, причём за каждый следующий час он проезжал расстояние вдвое меньше, чем за предыдущий.Какое расстояние проехал велосипедист за последний час, если весь путь составил 49 км.

Answer 1

Возьмем растояние за 1 час - х, тогда 2 час будет  х\2, а третий час будет  х\4
составим уравнение   х+х\2+х\4=49
Приводим к О.З=4      4х+2х+х=49
                                  7х=49
                                    х=7

Answer 2

Calculating the Distance Traveled by the Cyclist

To calculate the distance traveled by the cyclist in the last hour, we can use the information provided in the question. Let's break down the information given:

- The cyclist was on the road for 3 hours. - For each subsequent hour, the cyclist traveled a distance that was half of the distance covered in the previous hour. - The total distance traveled by the cyclist was 49 km.

Using this information, we can calculate the distance traveled by the cyclist in the last hour.

Solution

Let's denote the distance traveled in the first hour as x km. Then, the distance traveled in the second hour would be x/2 km, and in the third hour, it would be x/4 km.

Given that the total distance traveled is 49 km, we can set up the following equation: x + x/2 + x/4 = 49

Solving this equation will give us the value of x, which represents the distance traveled in the first hour. We can then calculate the distance traveled in the last hour.

Calculation

Let's solve the equation to find the value of x: x + x/2 + x/4 = 49 4x/4 + 2x/4 + x/4 = 49 7x/4 = 49 x = 49 * 4 / 7 x = 28

Now that we have the value of x, we can calculate the distance traveled in the last hour: Distance traveled in the last hour = x/4 = 28/4 = 7 km

Therefore, the cyclist traveled 7 km in the last hour.

This calculation is based on the information provided and the mathematical principles of the problem.