At what time between 2 and 3 O'Clock will the hands of a clock be together?
Detailed Explanation:
Concept: Clock hands coincide when the minute hand catches up to the hour hand.
At 2:00, the hour hand is at 60° (2 × 30°/hour). The minute hand moves at 6°/minute, the hour hand at 0.5°/minute.
After t minutes: 6t = 60 + 0.5t → 5.5t = 60 → t = 120/11 = 1010/11 minutes past 2.
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