Puzzle1

A wall clock loses 10 minutes every 1 hour. In 1 hour by the wall clock , a table clock gets 10 minutes ahead of it. In 1 hour by the table clock an alarm clock falls 5 minutes behind it. In 1 hour of the alarm clock, a wristwatch gets 5 minutes ahead it. At noon, all 4 timepieces were set correctly. To the nearest minutes, what time will the wrist show when the correct time is 6 p.m. on the same

Slightly confusing

The table clock is on time because after 1 hour wall clock lost 10 minutes and the table clock is 10 minutes ahead.

The alarm clock loses 5 minutes from real time so after 1 hour in alarm clock the real time is:

60 + 5*60/55 = 60 + 60/11 = 60*12/11

The wrist watch is 5 minutes ahead of alarm clock so its

60*12/11 - 65 minutes behind. = 5/11 minutes behind the real time.

So in 6 hours the wrist watch is 6*5/11 minutes behind.

To nearet minute, the wrist watch will show

5.57pm