Question

Лиса увидела мышь.Сделав 4 прыжка она поймала бы мышь,но мышь стала убегать.Длина одного прыжка лисы равна 12 шагов мыши. За то время,когда лиса делает один прыжок, мышь может сделать 4 шага. Сколько прыжков надо сделать лисе, чтобы поймать мышь?

Answer 1

За 4 прыжка мышь убежит на 16 шагов это на +1 прыжок больше и так уже 5 но мышь все равно впереди на 4 и + 4 шага за пятый прыжок лисы. в итоге лисе потребуется 6 прыжков

Answer 2

Problem Analysis

We are given that a fox saw a mouse and caught it after making 4 jumps. The length of one jump for the fox is 12 steps of the mouse. In the time it takes for the fox to make one jump, the mouse can take 4 steps. We need to determine how many jumps the fox needs to catch the mouse.

Solution

To solve this problem, we can calculate the total distance covered by the fox and the mouse and then divide it by the distance covered by the fox in one jump.

Let's assume that the number of jumps the fox needs to catch the mouse is represented by x.

The total distance covered by the fox is equal to the length of one jump multiplied by the number of jumps: 12 * x.

The total distance covered by the mouse is equal to the number of steps it can take in one jump multiplied by the number of jumps: 4 * x.

Since the fox catches the mouse when they cover the same distance, we can set up the following equation:

12 * x = 4 * x

Simplifying the equation, we get:

12x = 4x

Dividing both sides of the equation by 4, we get:

3x = x

Therefore, the fox needs to make 3 jumps to catch the mouse.

Answer

The fox needs to make 3 jumps to catch the mouse.

Explanation

In this problem, we are given that the fox can catch the mouse after making 4 jumps. However, in the time it takes for the fox to make one jump, the mouse can take 4 steps. This means that the mouse can cover a distance of 4 steps while the fox covers a distance of 12 steps in one jump. To determine the number of jumps the fox needs to catch the mouse, we can set up an equation where the distance covered by the fox is equal to the distance covered by the mouse. Solving this equation, we find that the fox needs to make 3 jumps to catch the mouse.