Find the time between 1500 hours and 1600 hours, when angle between both the hands is 180.

• 15 : 49 + 60/11 seconds
  
  It can be assumed that the minute hand will be b/w 9 and 10 as hour hand will be b/w 3 and 4.
  
  If second hand moves one second i.e 6 deg ,minute hand moves (1/10) deg => hour hand moves (1/120) deg.
  If minute hand moves 1 minute i.e 6 deg , hour hand moves (1/2) deg.
  => after 45 min have passed, hour hand has moved by (45/2) = 22.5 deg
  
  The angle of hour hand from 3 must be equal to angle min hand from 9 so that angle b/w them = 180
  Let t be the number of seconds that second hand has moved after 15:45
  
  => 22.5 + (t/120) = (t/10)
  => t = 2700/11 seconds
  => time when two hands are at 180 deg = 15: 45 + (2700/11)
  = 15:49 , (60/11) seconds
• 11 years agoHelpfull: Yes(0) No(0)