At a railway station a 24 hour watch loses 3 minutes in 4 hours. If it is set correctly on Sunday noon when will the watch show the correct time?

A 24-hour watch shows the correct time again only when its cumulative loss equals exactly 24 hours. Since the watch loses 3 minutes every 4 hours, we use the proportionality method to divide 1440 minutes by 3 minutes, yielding a multiplier of 480. Multiplying this by the base 4-hour interval gives a total of 1920 hours, which equals 80 days; the watch will show the correct time at 12 noon after 80 days.

• Thanks
• Wrong explanation