Multiple choice

At what time between 9 and 10 o'clock will the hands of a watch be together?

  1. 45 min. past 9

  2. 50 min. past 9

  3. 49 1/11 min. past 9

  4. 48 2/11 min. past 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The hands overlap every 65 5/11 minutes. At 9:00, the minute hand is at 12 and hour hand at 9. Using the formula: time past 9 = (5 × 60) / (11/2) = 300 × 2/11 = 600/11 = 54 6/11 minutes. But since the hour hand moves, we use the standard formula: (5/11) × 60 = 300/11 = 27 3/11 minutes past 9 for first overlap. For 9-10 o'clock overlap: 60 × 9/11 = 540/11 = 49 1/11 minutes past 9. Option C is correct.

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