Multiple choice

Between 4 and 5 o'clock, when the hands will be inclined at $60^o$ for the first time?

  1. $10 \cfrac{10}{11}$ min. past 4
  2. $11 \cfrac{10}{11}$ min. past 4
  3. $12$ min. past 4
  4. $9 \cfrac{10}{11}$ min. past 4
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A Correct answer
Explanation

At 4 o'clock, the hands are 20 minute spaces apart. For a 60 degree angle, they must be 10 minute spaces apart. The minute hand must gain 10 minute spaces. Time = 10 * (60/55) = 120/11 = 10 and 10/11 minutes past 4.

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