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

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.
55 min. spaces gained in 60 min.

45 min. spaces are gained in  $\frac{60}{55}\times 45$ min  or  $49\frac{1}{11}$min