Clocks & Calendars · Question 14 · Hard

Between 5 o'clock and 6 o'clock, at what time are the hands of a clock at right angles for the first time?

  1. 10 minutes past 5
  2. 43 7/11 minutes past 5
  3. 10 10/11 minutes past 5
  4. 15 minutes past 5
Answer and explanation

Answer: C. 10 10/11 minutes past 5

Explanation: At 5:00 the minute hand is 150° behind. For a 90° gap it must gain 60°, at 5.5° per minute: 60 ÷ 5.5 = 10 10/11 minutes. (43 7/11 minutes past 5 is the second right angle.)

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