Question

Решите задачу: Спортсмен метнул копье в 5.2 раза, или на 50.4 м, дальше, чем толкнул ядро. Какие расстояния пролетели ядро и копье?

Answer 1

пусть Х - расстояние, которое пролетело ядро, тогда:

5,2х = х + 50,4

5,2х - х = 50,4

4,2х = 50,4

х = 50,4 : 4,2

х = 12 м - ядро

12 + 50,4 = 62,4 м - копье

Answer 2

Problem Analysis

The problem states that a sportsman threw a javelin 5.2 times farther than he threw a shot put, which is a distance of 50.4 meters. We need to find the distances traveled by the shot put and the javelin.

Solution

Let's assume the distance traveled by the shot put is x meters. According to the problem, the javelin traveled 5.2 times farther than the shot put, so the distance traveled by the javelin is 5.2x meters.

Given that the distance traveled by the shot put is 50.4 meters, we can set up the following equation:

x + 5.2x = 50.4

Simplifying the equation, we have:

6.2x = 50.4

To find the value of x, we can divide both sides of the equation by 6.2:

x = 50.4 / 6.2

Evaluating the expression, we find:

x ≈ 8.13

Therefore, the shot put traveled approximately 8.13 meters, and the javelin traveled approximately 5.2 times that distance, which is:

5.2 * 8.13 ≈ 42.24

So, the javelin traveled approximately 42.24 meters.

Answer

The shot put traveled approximately 8.13 meters, and the javelin traveled approximately 42.24 meters.