At what time between 4 and 5 o'clock do the hands of a clock coincide?

• answer is 4 hrs and 240/11 min
  i.e. 4hrs and 21.82 min or 4 hrs 21 min and 49 sec
  
  we know minute hand of a clock covers 360 degrees in 60 min or 6 deg in 1 min
  and hour hand of a clock covers 360 deg in 12 hrs or 30 deg in i hour or .5 deg in 1 min
  so at 4:00 min hand has covered 0 degrees and hour hand has covered 120 degrees
  now let time after which these two coincide be x min
  so hour hand covers 120+x/2 upto that time
  and minute hand covers 6x degrees upto that time
  when they coincide the angles shud be same
  so 120+x/2 = 6x
  solving we get x = 240/11 min
  
• 11 years agoHelpfull: Yes(2) No(0)
• 4:22 hrs.
  
  
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• to coincide minute hand have to gain 20 min
  as 55 mins are gained in 60
  similarly 20 min are gained in 60/55*20
  240/11
  
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• 4:22 corrct
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