A clock viewed in a plane mirror shows the time as 3:45. What is the actual time on the clock?
Answer and explanation
Correct answer: B. 8:15
- Step 1: In a plane mirror reflection, the horizontal axis is reversed, so the reflection of time satisfies (or ).
- Step 2: Subtract from :
- Step 3: Hours: .
- Step 4: Minutes: .
- Step 5: The actual time is 8:15.
Answer
8:15.
Why not the others: '9:15' forgets to borrow an hour (); '8:45' reflects only the hour hand; '9:45' reflects neither correctly.
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