Question

The minute-hand of a clock overtakes the hour-hand at an interval
of 64 minutes of the correct time. How much in a day does the clock
gain or lose?

Answer 1

Answer:

time difference = 24*60 - 22*65 = 10 minutes. Answer - For a normal clock, time taken by minute hand to overtake the hour hand = 65 + 5/11 minutes. Since for this clock, the minute hand takes only 65 minutes, the clock gains 5/11 minutes every 65 minutes. Therefore, in 24 hours, the clock gains 1440/143 minutes.