Question

Мышке до норки по прямой 20 шагов. Кошке до мышки по дай же прямой 5 прыжков. Пока клюкв совершит 1 прыжок, мышка сделает 3 шага, а 1 кошачий прыжок равен по длине 10 мышиным шагам. Мышка находится на прямой между кошкой и норкой. Догонит ли кошка мышку? Объяснить свой выбор.

Answer 1

Кошка догонит мишку потому што
до нори 20 шагов а мишка успеєт зделать только 15

Answer 2

Problem Analysis

We are given the following information: - The mouse is 20 steps away from its burrow in a straight line. - The cat can jump 5 steps in a straight line towards the mouse. - While the cranberries make 1 jump, the mouse takes 3 steps. - The length of 1 cat jump is equal to 10 mouse steps. - The mouse is located between the cat and its burrow.

We need to determine if the cat will catch the mouse.

Solution

To solve this problem, we can calculate the number of jumps the cat needs to catch the mouse and compare it to the number of steps the mouse can take.

Let's break down the problem step by step:

1. Calculate the number of jumps the cat needs to catch the mouse: - The cat can jump 5 steps in a straight line towards the mouse. - The length of 1 cat jump is equal to 10 mouse steps. - Therefore, the cat needs to make 2 jumps to cover the same distance as the mouse (20 mouse steps / 10 mouse steps per cat jump = 2 cat jumps).

2. Calculate the number of steps the mouse can take: - While the cranberries make 1 jump, the mouse takes 3 steps. - Therefore, the mouse can take 3 steps for each jump the cat makes.

3. Compare the number of jumps the cat needs to catch the mouse with the number of steps the mouse can take: - The cat needs 2 jumps to cover the distance to the mouse. - The mouse can take 3 steps for each jump the cat makes. - Therefore, the mouse can take 2 * 3 = 6 steps while the cat is making its jumps.

4. Determine if the cat will catch the mouse: - The mouse is 20 steps away from its burrow. - The mouse can take 6 steps while the cat is making its jumps. - Therefore, the mouse will reach its burrow before the cat can catch it.

Conclusion

Based on the calculations, the cat will not catch the mouse. The mouse will reach its burrow before the cat can catch it.

Please note that the information provided in the search results was not directly relevant to the problem, so it was not used in the solution.