Question

in a watch the minute hand crosses the hour hand for the third time exactly after every 3 hours 18 minutes 15 seconds of watch time. what is the time gained or lost by this watch in one day ?

Answer 1

In a correctly running watch, the crossing of hands should take place exactly after every (720/11) minutes.
In this watch it takes after (3 hrs 18 min 15 seconds)/3 = 1 hour 6 min 5 sec = 66 (5/60) minutes of watch time.
so, this watch loses time = 720/11 - [66 (5/60)]
=> 83/132 minutes in (720/11) minutes.
so, in 1 day i.e 24* 60 minutes it will lose 83/6 minutes
i.e. 13 min 50 second.

Answer 2

Answer:

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