Question

The minute hand of a clock overtakes the hour hand at intervals at 66 minutes of the correct time. How much in a day does the clock gain or lose?​​

Answer 1

I hope it gain 144 minutes

Answer 2

$the \: answer \: is \: 44 \: hours$

Answer:

The "gains or loses" question is fairly straightforward: a

solve:

normal clock takes 

60⋅12/11=65(5/11)60⋅12/11=65(5/11)

 minutes for the minute hand to catch up to the hour hand, while our faulty clock takes 66 minutes which is 6/11 minutes longer.

This indicates that the faulty minute hand is moving slower than the normal minute hand, which means that the faulty clock is "losing" time.

_________________________________________

lost answer

How much time is lost is then 6/11 minutes

in 6666 minutes, which is the solution 22 calculation you

have already done, but does not correspond

to 6/11 minutes per hour, which would result in 2(31/12)

minutes lost over 44 hours.