Question

At what time in minutes between 3 o'clock and 4 o'clock both the needles will coincide each other?

• A. $5\frac{1"}{11}$
• B. $12\frac{4"}{11}$
• C. $13\frac{4"}{11}$
• D. $16\frac{4"}{11}$

Answer 1

The correct option is D $16\frac{4"}{11}$

At 3 o'clock the minute hand is 15 minutes spaces a part from the hour hand
To be coincident it must gain 15 minutes spaces Hence 55 minutes are gained in 60 minutes Hence 15 minutes are gained in
6055×15=164116055×15=16411 min
Hence hands are coincidentat 1641116411 minutes past 3