In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs 18 min 15 seconds of watch time.What is the time gained or lost by this watch in one day?

• 13 min 50 sec lost
  
• 12 years agoHelpfull: Yes(15) No(9)
• In a correctly running watch, the crossing of hands should take place exactly after every (720/11) minutes.
  In this watch it takes after (3 hrs 18 min 15 seconds)/3 = 1 hour 6 min 5 sec = 66 (5/60) minutes of watch time.
  so, this watch loses time = 720/11 - [66 (5/60)]
  => 83/132 minutes in (720/11) minutes.
  so, in 1 day i.e 24* 60 minutes it will lose 83/6 minutes
  i.e. 13 min 50 second.
• 9 years agoHelpfull: Yes(7) No(0)
• 32min 48 sec
• 12 years agoHelpfull: Yes(4) No(24)
• minute hand crosses hr hand 3 times after 3 hrs n 15 minutes bcz for crossing 3 times it takes 3 hrs n hr hand after also moves to 3 no's(frm 12 to 3 or 3 to 6 or any other) but time taken is 3 min n 15 sec more den nrmal..
  so total time lost is (3+1/4)*8 min = 26 min
• 12 years agoHelpfull: Yes(1) No(8)
• crossing 1st time it takes.. 1 hr 5 min
  so crossing 3 times it will take 3 hr 15 mins
  acc. to ques extra time taken= 3 min 15 sec = total time lost
• 11 years agoHelpfull: Yes(1) No(4)
• In a correctly running watch, the crossing of hands should take place exactly after every (720/11) minutes.
  In this watch it takes after (3 hrs 18 min 15 seconds)/3 = 1 hour 6 min 5 sec = 66 (5/60) minutes of watch time.
  so, this watch loses time = 720/11 - [66 (5/60)]
  => 83/132 minutes in (720/11) minutes.
  so, in 1 day i.e 24* 60 minutes it will lose 83/6 minutes
  i.e. 13 min 50 second.
• 8 years agoHelpfull: Yes(1) No(0)