A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?

• 
  
  Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours.
  
  24 hours 10 min. of this clock = 24 hours of the correct clock.
  
  hrs of this clock = 24 hours of the correct clock.
  
  29 hours of this clock = hrs of the correct clock
  
  = 28 hrs 48 min of the correct clock.
  
  Therefore, the correct time is 28 hrs 48 min. after 8 a.m.
  
  This is 48 min. past 12.
• 9 years agoHelpfull: Yes(0) No(2)
• Time from 8 am to 1 pm on the following day = 24+5 = 29 hours
  Therefore, clock advances 29 hours
  
  The clock gains 10 minutes in 24 hours
  => When actual time is passed by 24 hours, this clock advances 24 hours 10 minutes
  i.e., 24 hours 10 minutes in the clock ≡ 24 hours of actual time
  
  24 hours 10 minutes =
  24
  10
  60
  =
  24
  1
  6
  =
  145
  6
  241060=2416=1456 hour
  Therefore,
  145
  6
  1456 hours in the clock ≡ 24 hours of actual time
  
  => 29 hours in the clock ≡
  24
  ×
  6
  145
  ×
  29
  24×6145×29 hours of actual time
  =
  144
  5
  hr
  =
  28
  4
  5
  hr
  =1445 hr=2845 hr = 28 hour 48 minutes
  
  Actual time is 28 hour 48 minutes after 8 am.
  i.e., 48 minutes past 12 noon
• 7 years agoHelpfull: Yes(0) No(0)