This clock sucks
A clock loses ten minutes each hour. If the clock is set correctly at 12 o'clock noon, what is the correct time when the clock reads 3:00 P.M.? If your answer is , find .
The answer is 54.
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1 solution
Because the clock loses 10/60 minutes, we see that it goes 5/6 as fast as normal. For it to display 180 minutes, 6 x / 5 = 1 8 0 . Therefore it takes 216 minutes for the clock to display 180 minutes. Because it will be 3:36, 3 × 3 × 6 = 5 4 .