Between 4 o'clock and 5 o'clock, at what exact time do the hands of a clock coincide (overlap)?
Answer and explanation
Correct answer: A.
- Step 1: At 4 o'clock, the minute hand is 20 minute-spaces behind the hour hand.
- Step 2: In 60 minutes, the minute hand gains 55 minute-spaces over the hour hand (rate ).
- Step 3: To gain 20 minute-spaces, time taken .
- Step 4: The hands coincide at .
Answer
.
Why not the others: ignores the movement of the hour hand during those 20 minutes. and do not fit.
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