Multiple choice

At what time between 9 and 10 will the hands of a clock be in the straight line, but not together?

  1. $16$ minutes past 9
  2. $16\displaystyle \frac{4}{11}$ minutes past 9
  3. $16\displaystyle \frac{6}{11}$ minutes past 9
  4. $16\displaystyle \frac{9}{11}$ minutes past 9
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B Correct answer
AI explanation

Using the straight line formula for hands not together, the minutes past 9 o'clock equals (2 * 30 + 180) * (12 / 11). Working this out gives 240 * (12 / 11), which equals 2880 / 11 or 261 and 9/11 minutes. Converting this to minutes past 9 gives 16 and 4/11 minutes past 9.

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