SOLUTION: A clock is 4 minutes slower than normal time per hour. You set it to be accurate at 8 AM. When this clock hits 12 at noon exactly, what time is it?

Question 1163944: A clock is 4 minutes slower than normal time per hour. You set it to be accurate at 8 AM. When this clock hits 12 at noon exactly, what time is it?
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
.


Let  be the reading of the slower clock;  t be the normal clock reading (= actual time).


Then from the condition   =  =  =   for any time interval t after 8:00 am.


When this clock hits 12 at noon exactly,  = 4;  hense


     = ,  or


     = t - 8

     = t-8

     = t -8

    t-8 = 4 hours +  of an hour = 4 hours and 0.286 of an hour = 4 hours 17 minutes and 9.6 seconds.


ANSWER.  At this moment, the correct time is  17 minutes and 9.6 seconds after noon.

Solved.

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