At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

• At 4pm the minute and hour hand are 20 minute apart.
  As minute hand gain 55 minute over hour hand in 60 minute
  here as they are exactly aligned then minute hand should gain 20 min over hr hand
  20 minute gain in = (60/55)*20= 21.818181 min = 21min 49.5 sec
  so they aligned at 4 hr.21 min.49.5 sec
• 13 years agoHelpfull: Yes(7) No(1)
• answer : 4:21:49.5
  
  Assume that X minutes after 4.00 PM minute hand exactly
  aligns with and hour hand.
  
  For every minute, minute hand travels 6 degrees.
  
  Hence, for X minutes it will travel 6 * X degrees.
  
  For every minute, hour hand travels 1/2 degrees.
  
  Hence, for X minutes it will travel X/2 degrees.
  
  At 4.00 PM, the angle between minute hand and hour hand is
  120 degrees. Also, after X minutes, minute hand and hour
  hand are exactly aligned. So the angle with respect to 12
  i.e. Vertical Plane will be same. Therefore,
  
  6 * X = 120 + X/2
  
  12 * X = 240 + X
  
  11 * X = 240
  
  X = 21.8182
  
  X = 21 minutes 49.5 seconds
  
  Hence, at 4:21:49.5 minute hand is exactly aligned with the
  hour hand.
• 12 years agoHelpfull: Yes(4) No(1)
• 240/11 minutes
  let after x minutes
  6x-120=x/2
  x=240/11.
• 15 years agoHelpfull: Yes(3) No(3)
• 4 hours 21 9/11 minutes or 4 hours 240/11 minutes
• 15 years agoHelpfull: Yes(1) No(2)
• 4.04 pm
• 15 years agoHelpfull: Yes(0) No(3)
• 4:21:45 ie 4hrs 21mins 45 sec
• 15 years agoHelpfull: Yes(0) No(1)
• 4-20
• 15 years agoHelpfull: Yes(0) No(1)
• 4.22(approx)
  but mostly 4:21:48
• 15 years agoHelpfull: Yes(0) No(1)
• 4 hr. 240/11 minutes
• 15 years agoHelpfull: Yes(0) No(1)
• 4 hours 240/11 minutes
• 15 years agoHelpfull: Yes(0) No(1)