At what time between 9 and 10 oclock will the hands of a watch be together? Options: A . &nbsp45 min. past 9 B . &nbsp50 min. past 9 C . &nbsp \(49\frac{1}{11} min. past 9\) D . &nbsp \(48\frac{2}{11} min. past 9\)

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

Question

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

Options:

A . 45 min. past 9

B . 50 min. past 9

C . \(49\frac{1}{11} min. past 9\)

D . \(48\frac{2}{11} min. past 9\)

Answer: Option C

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 \(\left(\frac{60}{55}\times45\right)min. or 49\frac{1}{11}min.\)

So, The hands are together at \(49\frac{1}{11} min. past 9\)

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