At 9 O‘clock, the minute hand is 9×5=45 minute – spaces behind the hour hand. Therefore, the minute hand will have to gain 45–30=15 minute space over the hour hand. ∵ Gain of 55 minute spaces equal 60 minutes. ∴ Gain of 15 minute spaces equals =
60
55
×15=
180
11
=16
4
11
Therefore, hour and minute hands of a clock point in opposite direction after 9 O‘clock at 16