At what time between 9 and 10 o'clock will the hands of a watch be together?
(a)45 min. past 9
(b)50 min. past 9
(c)$49 \frac{1}{11} \mathrm{min}$. past 9
(d)$48 \frac{2}{11} \mathrm{min}$. past 9
Answer
Answer (as printed): C
Explanation
To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces. 55 min. spaces are gained in 60 min. 45 min. spaces are gained in $\left(\frac{60}{55} \times 45\right) \mathrm{min}$. or $49 \frac{1}{11} \mathrm{min}$. ∴ The hands are together at $49 \frac{1}{11} \mathrm{min}$. past 9.