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?
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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(52817) (Show Source):
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.