At what time between 9 and 10 o’clock will the hands of a watch be together?

A. 49 1/11 min. past 9
B. 40 min. past 9
C. 45 min. past 9
D. 50 min. past 9
Ans: A.

Explanation:

To be together between 9 and 10 o’clock, the minute hand has to gain 45 min. spaces. 55 min. spaces gined in 60 min.
45 min. spaces are gained in [60 / 55 * 45] min. or 49 1/11 min.
=> The hands are together at 49 1/11 min. past 9.