Question

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

• A. 45 minutes past 9
• B. 50 minutes past 9
• C. $49\frac{1}{11}$ minutes past 9
• D. $48\frac{2}{11}$ minutes past 9

Answer 1

The correct option is C $49\frac{1}{11}$ minutes past 9

To be together between 9 and 10 the minute hand has to gain 45 minute spaces
Now, 55 min. spaces are gained in 60 minutes
∴∴ 45 min. spaces are gained in (6055×45)(6055×45) min. or 4911149111 min
So, the hands are together at 4911149111 min. past 9