Multiple choice

Find the time between 8 and 9 o'clock when the hands of clock be in the same straight line but not together.

  1. $10 \frac{9}{11}$ min. past 8
  2. $10 \frac{10}{11}$ min. past 8
  3. $11 \frac{10}{11}$ min. past 8

  4. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 8 o'clock, the hands are 40 minute spaces apart. For them to be in a straight line (180 degrees), they must be 30 minutes apart. The minute hand must gain 40 - 30 = 10 minute spaces. Time = 10 * (60/55) = 120/11 = 10 10/11 minutes past 8.

AI explanation

Using the straight line formula for clock hands, the time is calculated as 5 over 11 multiplied by the sum of the hour and the difference in the given times, or directly as 2 times 5 plus the hour divided by 11. For the time between 8 and 9, the formula to be in a straight line but not together is 2 times 5 plus 8, which equals 18. Multiplying gives 90 divided by 11, which equals 10 and 10 over 11 minutes past 8.

Keep practicing — related questions