At what time between 2 and 3 o’clock will the hands of a clock be together ?
Answer
Answer (as printed):
Explanation
At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min. spaces apart. To be together, the minute hand must gain 10 minutes over the hour hand. Now, 55 minutes are gained by it in 60 min. $\therefore 10$ minutes will be gained in $\left(\frac{60}{55} \times 10\right) \min .=10 \frac{10}{11} \min$. $\therefore$ The hands will coincide at $10 \frac{10}{11} \mathrm{min}$. past 2.