Find at what time between 8 and 9 o’clock will the hands of a clock be in the same straight line but not together.
Answer
Answer (as printed):
Explanation
At 8 o'clock, the hour hand is at 8 and the minute hand is at 12, i.e. the two hands are 20 min. spaces apart. To be in the same straight line but not together they will be 30 minute spaces apart. So, the minute hand will have to gain $(30-20)=10$ minute spaces over the hour hand. 55 minute spaces are gained in 60 min. 10 minute spaces will be gained in $\left(\frac{60}{55}\times10\right)$ min $=10\frac{10}{11}$ min. $\therefore$ The hands will be in the same straight line but not together at $10\frac{10}{11}$ min. past 8.
Explanation as extracted from the printed page; notation may be imperfect.