At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
(a)5 min. past 7
(b)$5 \frac{2}{11} \mathrm{min}$. past 7
(c)$5 \frac{3}{11} \mathrm{min}$. past 7
(d)$5 \frac{5}{11} \mathrm{min}$. past 7
Answer
Answer (as printed): D
Explanation
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart. At 7 o'clock, they are 25 min . spaces apart. ∴ Minute hand will have to gain only 5 min. spaces. 55 min. spaces are gained in 60 min. 5 min . spaces are gained in $\left(\frac{60}{55} \times 5\right) \mathrm{min}=5 \frac{5}{11} \mathrm{min}$. ∴ Required time $=5 \frac{5}{11} \mathrm{min}$. past 7.