Question

Велосипедист был в пути 3 часа ,причем каждый следующий час он проезжал расстояние вдвое меньше,чем за предыдущий.какое расстояние проехал велосипедист за последний час ,если весь путь составил 56 км?

Answer 1

Пусть х - проехал за 3 час, тогда 2х - за второй час, а 4х - за первый час. Весь пусть - 56 км.
Составим уравнение:
х+2х+4х = 56
7х = 56
х = 56:7
х = 8.
Ответ: 8 км - расстроение, которое проехал велосипедист за последний час.

Answer 2

56:2=28
28:2=14
опфуасфсепфапеф

Answer 3

Calculation of the Distance Traveled by the Cyclist

To determine the distance traveled by the cyclist in the last hour, we need to analyze the given information.

According to the problem statement, the cyclist was on the road for a total of 3 hours. Each subsequent hour, the cyclist traveled a distance that was half of the distance traveled in the previous hour. The total distance covered by the cyclist was 56 km.

Let's break down the problem step by step:

1. Let's assume that the distance traveled by the cyclist in the first hour is x km. 2. In the second hour, the cyclist traveled a distance that was half of the distance traveled in the first hour, which is x/2 km. 3. In the third hour, the cyclist traveled a distance that was half of the distance traveled in the second hour, which is (x/2)/2 = x/4 km.

To find the value of x, we can set up an equation based on the given information:

x + x/2 + x/4 = 56

To solve this equation, we can multiply through by the common denominator, which is 4:

4x + 2x + x = 224

Simplifying the equation:

7x = 224

Dividing both sides of the equation by 7:

x = 32

Therefore, the distance traveled by the cyclist in the first hour is 32 km.

To find the distance traveled by the cyclist in the last hour, we need to calculate half of the distance traveled in the previous hour:

x/4 = 32/4 = 8

Therefore, the cyclist traveled 8 km in the last hour.

Answer:

The cyclist traveled a distance of 8 km in the last hour.