The inhabitants of planet Rahu measure time in hours and minutes which are different from the hours and minutes of our earth. Their day consists of 36 hours with each hour having 120 minutes. The dials of their clocks show 36 hours. What is the angle between the hour hand and the minutes hand of a Rahuian clock when it shows a time of 9:48? [Rahuians measure angles in degrees the way we do on earth. But for them, the angle around a point is 720 degrees instead of 360 degrees. ]

• In rahuian degrees the minutes hand travels a full circle in 1 hour. i.e., 120 minutes
  i.e., 720 degrees in 120 min or 6 degrees per min
  and the hours hand travels 720/36= 20 degrees per hour
  and 20/120 = 1/6 degrees/minute.
  At 9:48 the hours:
  Angle covered by hour hand = 9 x 20 + 48 x 1/6 = 188 deg
  Angle covered by min hand = 48 x 6 = 288 deg
  Angle between hour hand and minute hands = 288 - 188 = 100 degrees
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