Question

Заяц и Черепаха соревновались в беге. Заяц начал бежать в три раза быстрее Черепахи. Но через 10 минут решил отдохнуть и задремал. Проснувшись, Заяц побежал в два раза быстрее, чем до отдыха, и бежал до финиша 20 минут. На финише Заяц проиграл Черепахе 4 минуты. Сколько минут проспал Заяц? Весь путь Черепаха бежала с постоянной скоростью. можно просто ответ

Answer 1

Скорость черепахи - Х. Время сна Зайца - t/
Заяц бежал всего 30 мин, а черепаха на 4 мин меньше. - 26 мин. и ВРЕМЯ СНА Зайца.
Пишем выражение для расстояния по формуле S = V*t.
х*(26 + t) = 3*x*10 + 6*x*20  - одинаковая дистанция.
26*x + x*t = 150*x
Сократили на х и упростили.
t = 150 - 26 = 124 мин = 2 ч 4 мин - ОТВЕТ

Answer 2

126. за первые 10 минут он пробежал расстояние, которое черепаха пробежит за 30, так как он бежал в 3 раза быстрее. расстояние которое заяц прошел за 20 минут, черепах прошла за 120, так как его скорость в 2 раза больше (3*2). в сумме 150, но заяц опоздал на 4 минуты, для него сумма 154. 154-30(время бега) = 124(время сна)

Answer 3

Problem Analysis

In this problem, we are given that a hare (заяц) and a tortoise (черепаха) are competing in a race. The hare starts running three times faster than the tortoise but decides to take a nap after 10 minutes. When the hare wakes up, it runs twice as fast as before and reaches the finish line 20 minutes later, losing to the tortoise by 4 minutes. We need to determine how many minutes the hare slept.

Solution

Let's assume that the tortoise's constant speed is represented by x units per minute. Since the hare initially runs three times faster than the tortoise, its speed is 3x units per minute.

We know that the hare takes a nap for some time and then runs twice as fast as before. Let's denote the time the hare naps as t minutes. After waking up, the hare runs at a speed of 2(3x) = 6x units per minute.

We are also given that the hare reaches the finish line 20 minutes after waking up, losing to the tortoise by 4 minutes. This means that the tortoise took 20 + 4 = 24 minutes to reach the finish line.

To find the time the hare slept, we need to determine the value of t.

Let's analyze the hare's journey step by step:

1. The hare runs for 10 minutes at a speed of 3x units per minute. 2. The hare takes a nap for t minutes. 3. The hare runs for 20 minutes at a speed of 6x units per minute.

The total time taken by the hare is the sum of the time spent in each step:

10 + t + 20 = 30 + t minutes.

Since the hare loses to the tortoise by 4 minutes, the tortoise takes 24 minutes to reach the finish line. Therefore, the total time taken by the tortoise is 24 minutes.

We can now set up an equation to solve for t:

30 + t = 24

Simplifying the equation, we get:

t = 24 - 30 = -6 minutes.

However, a negative value for time does not make sense in this context. It indicates that the hare did not have enough time to complete the race. Therefore, there must be an error in the given information or the problem statement.

Unfortunately, without additional information or clarification, we cannot determine the exact number of minutes the hare slept.

Conclusion

Based on the given information, we cannot determine the number of minutes the hare slept. The problem may contain an error or missing information.