Question

At what time between 10 and 11 o'clock will the hands of a watch be together?

• A. 45 min. past 10
• B. 50 min. past 10
• C. min. past 10
• D. min. past 10
• E. 49 min past 10

Answer 1

The correct option is C

min. past 10

To be together between 10 and 11 o'clock, the minute hand has to gain 50 min. spaces.

55 min. spaces gained in 60 min.

50 min. spaces are gained in $\left(\frac{60}{55}\times 50\right)$min or 54$\frac{6}{11}$min .

$\therefore$The hands are together at 54$\frac{6}{11}$ min. past 10.