Minute hand overlaps hour hand in 65 mins. In how many days it will gain 1440 hours ?

• In this problem , it has considered that 65 mins = 1hr
  so mins has increased by 5 mins so multiply 5*24=120 mins extra ,
  That is now per day it adds 2hr extra so divide 1440/26=59.384 days is the answer
• 7 years agoHelpfull: Yes(10) No(1)
• in this problem, minute hand overlap hour hand in 65 minute.
  Suppose, initially hour hand and minute hand are on 12 then after 1 hour(60 minute) hour hand will be on 1 and minute hand will be on 12, so to overlap hour hand minute hand needs to move 5 minutes more, it means in this problem hour is also ends with 60 minute (because to overlap hour hand, minute hand should be travel 60 minutes + 5 minutes because of change in hour hand also).
  
  so, 1440 hour will be gain in=(1440/24) days
  =60 days
• 7 years agoHelpfull: Yes(4) No(0)
• at correct clock takes 65 5/11min=720/11min to overlap ,,, gain=(720/11) -65=5/11,,,, in 1 min it gain=(5/(11*65)),, so in 1 day it gains=(5/11*65)60*24hr,,, todal days taken=1440/((5/11*65)*60*24)days=143
• 7 years agoHelpfull: Yes(3) No(2)
• according to question it is normal condition here 1 hour is of 60 min. as usual so, 1 day will have 24 hours and by simply dividing 1440/24 = 60 days
• 7 years agoHelpfull: Yes(1) No(12)
• 143 is answer
• 5 years agoHelpfull: Yes(0) No(0)
• In this case,65 mins = 1hr, As in clock both hands crosses each other once in hour.
  Hence new day will be 65*24=3720 min.
  Now day is of 26hrs.
  according this here 1440/26=55.38days
• 4 years agoHelpfull: Yes(0) No(0)