Hour and minutes hand were meeting after every 65 minutes.
Does the clock lose or gain the time and by what amount it will gain or lose per hour?

• In 1 hr, minute hand travels by 360 deg and hr hand travels by 30 deg.
  Diff in angle = 330 deg
  For meeting of both hands, the diff between angle travelled by both hands should be zero or 360 deg.
  zero is not possible.
  Diff of angles of 330 deg is happening in 60 min ,
  diff of angle of 360 deg will happen in 60*360/330 720/11 mins = 65 5/11 mins
  
  But these hands are meeting after every 65 mins.
  
  so time gain in 65 mins = 5/11 mins
  time gain in 1 hr or 60 mins = (5/11) *(60/65 )= 60/143 mins
• 13 years agoHelpfull: Yes(1) No(0)