show that the minute hand of a watch gains 5 degree 30 minute on the hour hand in a minute
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Answer:
Since
In 60 minutes the hour hand complete 1/12 of 360°
So
60 minute = (1/12)(360°)
This implies that
60 minute = 30°
Dividing by 60 on both sides we get
1 minute = 30/60 = 1/2 = 0.5° = 30 minutes
So in one minute hour hand of the watch turns 0.5°
Since there are 5 partitions between any two consecutive number on the watch.
So when
Hour hand is on first partition then
the minute hand will be on 1/5 of 360
That is
Minute hand turns = 72 degree.
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