show that minute hand gains five degree thirty minutes on hour hand in one minute

2 answers

1 minute is 1/60 of an hour
the minute hand travels 360° in an hour, so it travels 360/60 = 6° in one minute.

The hour hand travels 1/12 as fast as the minute hand. So, in one minute it travels 6/12 ° = 30'

The minute hand thus gains 6°-30' = 5°30'
1hr=60min
In one hr rotation is 360
Hence,hr hand gained 360/60=1/2
Now sutracting 30'because of advancement on hr hand we get ans
5 30'