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?

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Annapurna Samanta

  • Sep 14th, 2006
 

in a correct clock

55 minutes are gained in 60 min

60 min are gained in 60/55*60 min = 65 5/11 min

but now they got together in 65 min

so gain in 65 min= (65 5/11 - 65) = 5/11 min

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shashank_tangwan

  • Mar 1st, 2007
 

CORRECTION :

There is a discrepancy of 5/11 mins in overlapping and it gains by this much time in 65 mins (Not 60 mins)..................  Which means that :

correct clock takes 65 & 5/11 mins to overlap where this one takes 65 mins

so ,
 
correct clock takes 60 mins to complete an hour  while this one takes 59 & 7/12 mins


hence the actual gain / hr is  ---> 60 - (59 + 7/12) = 5/12 mins...

Hence the actual gain per hour  is 5/12 mins  & Not 5/11 mins

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