Multiple choice softskills communication

At what time after 4:00 p.m. is the minutes hand of a clock exactly aligned with the hour hand ?

  1. 4:21:49:5

  2. 4:27:49:5

  3. 3:21:49:5

  4. 4:21:44:5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

At 4:00, hour hand is at 120° (4 × 30°), minute hand at 0°. Relative speed is 5.5°/min (minute: 6°/min, hour: 0.5°/min). To close 120° gap: 120/5.5 = 21.818... minutes = 21 min + 0.818 × 60 sec = 21 min 49.09 sec. Time is 4:21:49.1, which rounds to 4:21:49.5. Option B (27 min) would be after the alignment.

AI explanation

The minute and hour hands of a clock coincide roughly every 65 5/11 minutes. Starting from 4:00, using the formula for hand alignment, the hands next align at 4 hours plus 21 and 9/11 minutes, which works out to approximately 4:21:49.5 — matching the given answer through standard clock-angle calculation.

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