Question

At what time between $9$ and $10$o'clock will the hand of a watch be together?

• A. $45$ min. past $9$
• B. $50$ min. past $9$
• C. $49\frac{1}{11}$ min. past $9$
• D. $48\frac{2}{11}$ min. past $9$

Answer 1

Answer: (C)

$49\frac{1}{11}$ min. past $9$

To be together between $9$ an d$10$o'clock, the minute hand has to gain $45min.$ spaces.
$55min.$ spaces gained in $60min.$
$45min.$ spaces are gained in $(\frac{60}{55}\times 45)min.$ or $49\frac{1}{11}$min.
$\therefore$ The hands are together at $49\frac{1}{11}$ min. past $9$.