how to solve?

2014-12-11 12:40 pm
when the actual time pass 1hr wall clock is 10 min behind it when 1 hr is shown by wall
clock, table clock shows 10 min ahead of it when table clock shows 1 hr the alarm clock goes
5min behind it, when alarm clock goes 1 hr wrist watch is 5 min ahead of it assuming that all
clocks are correct with actual time at 12 noon what will be time shown by wrist watch after 6
hr

回答 (1)

2014-12-11 12:55 pm
✔ 最佳答案
This is not phrased clearly.

At 12:00:00, all the clocks were correct.

At 13:00:00, the wall clock showed 12:50:00. The wall clock moved 300° in 60 minutes.
When the wall clock showed 13:00:00, the elapsed time was 360° × 60 minutes/300° = 72 minutes, so the actual time was 13:12:00.

At 13:12:00, the table clock showed 13:10:00. The table clock moved 420° in 72 minutes.
When the table clock showed 13:00:00, the elapsed time was 360° × 72 minutes/420° = 432/7 minutes, so the actual time was approximately 13:01:43

At 13:01:43 the alarm clock showed 12:55:00. The alarm clock moved 330° in 432/7 minutes.
When the alarm clock showed 13:00:00, the elapsed time was 360° × (432/7 minutes)/330° 5184/77 minutes, so the actual time was approximately 13:07:19.

At 13:07:19 the wrist watch showed 13:05:00. The wrist watch moved 390° in 5184/77 minutes.

6 hours = 360 minutes
360 minutes × 390°/(5184/77 minutes) = 2085.416667°
At 18:00:00, the wrist watch shows 17:47:34, or about 5:47pm


收錄日期: 2021-04-20 19:50:54
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