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

Options

A. a. 45 min past 9
B. b. 50 min past 9
C. c. `49(1)/(11)` min past 9
D. d. `48(2)/(11)` min past 9

Answer

C

Explanation

Both the hands are 15 min space part at 9 O.clock. To be together between 9 and 10 minute hand has to gain 45 min.
Now, minute hand gains 55 min in 60 min.
It will gain 45 min in `(60)/(55) xx 45 = 49(1)/(11)` min. Therefoe, the hands are together at `49(1)/(11)` min past 9.