Question

Find the exact time between 8 and 9 o'clock where the hands of a clock be in the same straight line but not together?

• A. 100/11 min past 8
• B. 120/11 min past 8
• C. 90/11 min past 8
• D. 80/11 min past 8

Answer 1

The correct option is B 120/11 min past 8

At 8 o’ clock, the hands are 120 degrees apart and every minute the minute hand gains 5.5 degrees. We want the hands to be in the same line but not together, meaning they should be at 180 degrees.
So, the minute hand must gain 60 degrees.
So, reqd. time = $\frac{60}{5.5}=\frac{120}{11}$ minutes