Reasoning
The clock now shows 10:12am, so we know that 10 x 60 + 12 = 612 clock minutes have passed.
Since the clock is losing 6 minutes every hour, for every real hour that has passed, the clock will show 54 minutes.
So, 612 ÷ 54 ≈ 11.33 real hours have passed.
This equals 680 minutes, which is 11 hours and 20 minutes = 11:20am.
The clock stopped 2 hours ago, therefore the time must now be 1:20pm.
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Puzzle 8
A woman had three old coins: a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin.
What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total?
For this puzzle it can be assumed that 1/2 a coin is worth 1/2 of its value.