the minute hand of a clock overtakes the hour hand at intervals of 66 minutes of the correct time how much in a way does the clock gain or lose?
Answer (1)
25th Aug, 2020
Hello,
Please refer to the below formula whenever there is an overtaking of a minute hand and loss/gain of time involved:
(720/11-M)(24*60/M) min
where M= intervals of n minutes of correct time
Now, the minute hand of a clock overtakes the hour hand at intervals of 66 minutes of the correct time, therefore putting the value of m = 66 in the above equation, we get time gain or lose as:
(720/11-66)(24*60/66)
= - 1440/121 mins
Therefore, the clock will lose 1440/121 mins in 24 hours (Answer)
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