Question: At what time (in min) between 3’O clock and 4’O clock, both the needles will coincide each other?
Options:
A) $ 5\frac{1}{11} $
B) $ 12\frac{4}{11} $
C) $ 13\frac{4}{11} $
D) $ 16\frac{4}{11} $
Show Answer
Answer:
Correct Answer: D
Solution:
- At 3 O’clock, the minute hand is 15 min spaces apart from the hour hand.
To be coincident, it must gain 15 min spaces.
55 min are gained in 60 min.
$ \therefore $ 15 min are gained at $ \frac{60}{55}\times 15=16\frac{4}{11}\min $
$ \therefore $ The hands are coincident at $ 16\frac{4}{11}\min $ past 3.