At what time between 9 and 10 o’clock will the hands of a watch be together?
papay dey Answered question February 15, 2025
🕰️ Watch Hand Alignment 🤔
At 9:00, the hour hand is at 9 (270°) and the minute hand is at 12 (0°).
The hour hand moves 0.5° per minute, and the minute hand moves 6° per minute.
To find when the hands will be together, we need to calculate the time it takes for the minute hand to catch up to the hour hand.
Initial angle between hands = 270°
Relative speed = 6°/minute – 0.5°/minute = 5.5°/minute
Time = Initial angle / Relative speed
= 270° / 5.5°/minute
≈ 49.09 minutes
Since 49 minutes is between 9 and 10 o’clock:
🎉 The hands of the watch will be together at approximately 9:49. 🕰️
papay dey Answered question February 15, 2025