Lesson Gaining clock problem

Gaining clock problem

Problem 1

Let  be the reading displayed by the gaining clock and  be the reading of a correct clock.


Since  gains 10 minutes every 24 hours = 60*24 minutes, we have

      = 1450 when  = 1440.

So, the ratio  =  = , and the inverse ratio  = .


The difference between the readings of the gaining clock at 10:00 am "today" and 3:00 pm "tomorrow"  is 

24 + 5 = 29 hour marks, or  minute marks.  (Notice that I am talking about the difference measured in "minute marks", not in real minutes in this case !)


It corresponds to   minutes of CORRECT TIME.

Now calculate:   = 1728 minutes = 28 hours and 48 minutes.