At what time between 9’o clock and 10’o clock will the hands of a clock point in the opposite directions?  Pick one.
A) 16 4⁄11 minutes past 9  B) 16 4⁄11 minutes past 8  C) 55 5⁄61 minutes past 7  D) 55 5⁄61 minutes past 8  E) None of these
At 9’o clock, the Minute Hand is ahead of Hour Hand by 45 minutes. The hands will be opposite to each other when there is a space of 30 minutes between them.   This will happen when the Minute Hand gains 15 minutes space over Hour Hand.   Time taken by Minutes Hand to gain 15 minutes   = 15 × (1 + 1⁄11) = 15 + 15⁄11 = 15 + 14⁄11 + 16 4⁄11 minutes.   Hence the Hands are opposite to each other at 16 4⁄11 minutes past 9.   16 4⁄11 minutes past 9nswer 16 4⁄11 minutes past 9
<result>A</result>
At what time between 9’o clock and 10’o clock will the hands of a clock point in the opposite directions?