Question

В 12:00 часовая и минутная стрелки на циферблате совпадают Через сколько часов после 12:00 они совпадут снова

Answer 1

Через 12 часов снова совпадут

Answer 2

Calculating the Time When the Hour and Minute Hands Align Again

When the hour and minute hands align at 12:00, we can calculate when they will align again using the following method:

1. Initial Alignment: The hour and minute hands align at 12:00. 2. Time Taken to Align Again: We need to calculate the time it takes for the minute hand to gain a full rotation relative to the hour hand.

Calculation

The minute hand moves 360 degrees in 60 minutes, which means it moves 6 degrees per minute. The hour hand moves 30 degrees in 60 minutes, which means it moves 0.5 degrees per minute.

When the minute hand is at 12:00 and the hour hand is at 12:00, the minute hand is 0 degrees ahead of the hour hand. To find the next time they align, we need to find the time it takes for the minute hand to gain a full rotation relative to the hour hand, which is 360 degrees.

So, the minute hand needs to gain 360 degrees relative to the hour hand, which is 360 degrees / (6 degrees/minute - 0.5 degrees/minute) = 360 degrees / 5.5 degrees/minute.

Answer

Therefore, the minute and hour hands will align again after approximately 65.45 minutes from 12:00.

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