At what time between 9 and 10 o'clock are the hands of a clock 23 minute spaces apart?
(a)9 : 18
(b)9 : 23
(c)9 : 24
(d)9 : 26
Answer
Answer (as printed): C
Explanation
At 90' clock, the minute hand is 4 min. spaces behind the hour hand. Thus, the minute hand has to gain (45-23) $$\text { = } 22 \text { min sapces. }$$ 5 min are gained in 60 min. 22 min are gained in $\left(\frac{60}{55} \times 22\right)=24 \mathrm{min}$. ∴ The hands will be 23 min spaces apart at 9:24.