Clocks & Calendars · Question 23 · Medium
At what time between 4 o'clock and 5 o'clock will the hands of a clock coincide?
- 20 minutes past 4
- 22 6/11 minutes past 4
- 21 3/11 minutes past 4
- 21 9/11 minutes past 4
Answer and explanation
Answer: D. 21 9/11 minutes past 4
Explanation: At 4:00 the minute hand is 20 minute-spaces behind the hour hand and gains 11/12 of a space per minute. It catches up after 20 × 12/11 = 240/11 = 21 9/11 minutes.
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