Question

100 БАЛЛОВ! ОТВЕТ ТОЛЬКО С РЕШЕНИЕМ! Коля разобрал часы со стрелками и неправильно их собрал: перепутал часовую стрелку с минутной, кроме того, они начали идти в обратную сторону. Коля запустил часы в полдень, выставив точное время. Сколько раз за период с 12:01 до 23:59 такие часы покажут правильное время?

Answer 1

Ответ:

Представим времени в десятичные дроби:

12:01=12,01

23:59=23,59

Решение:

23,59-12,01=11,58≈12 раз за период с 12:01 до 23:59 такие часы покажут правильное время.

Пошаговое объяснение:

Answer 2

11 раз

Пошаговое объяснение:каждый час по одному разу время сойдется цифре.. -1, потом 2,потом 3,потом 4, потом 5, потом 6, потом 7, потом 8, потом 9, потом 10, потом 11..на цифре 12 не будет схождения, потому что условие задачи не позволяет

Answer 3

Problem Analysis

Kolya incorrectly assembled the clock by swapping the hour and minute hands and setting them to move in the opposite direction. The clock was started at noon with the correct time. We need to determine how many times the clock will show the correct time between 12:01 and 23:59.

Solution

To solve this problem, we need to consider the movement of the hour and minute hands and how they align to show the correct time.

Let's analyze the movement of the hands: - The minute hand moves 12 times faster than the hour hand because there are 12 hours on a clock face. - The minute hand completes a full revolution (360 degrees) in 60 minutes. - The hour hand completes a full revolution in 12 hours, which is equivalent to 720 minutes.

Since Kolya assembled the clock incorrectly, the minute hand will now move at the speed of the hour hand, and the hour hand will move at the speed of the minute hand.

To find the number of times the clock will show the correct time, we need to determine how many times the minute and hour hands align within the given time period.

Let's calculate the alignment of the hands: - The minute hand aligns with the hour hand once every hour when it completes a full revolution (360 degrees). - The minute hand aligns with the hour hand 11 times between each hour when it moves 30 degrees (360 degrees divided by 12).

Since the clock was started at noon (12:00), we need to calculate the number of times the hands align between 12:01 and 23:59.

The time period between 12:01 and 23:59 is 11 hours and 58 minutes.

Let's calculate the number of times the hands align within this time period: - The minute hand aligns with the hour hand 11 times per hour. - In 11 hours, the hands align 11 * 11 = 121 times. - In the remaining 58 minutes, the hands align 58 / 5 = 11.6 times (since the minute hand moves 12 times faster than the hour hand).

Therefore, the total number of times the hands align within the given time period is 121 + 11.6 = 132.6 times.

However, since the clock only shows whole numbers, we can conclude that the clock will show the correct time 132 times between 12:01 and 23:59.

Answer

The clock with the swapped hour and minute hands, moving in the opposite direction, will show the correct time 132 times between 12:01 and 23:59.

Note: The answer is based on the assumption that the clock operates continuously without any interruptions or malfunctions.