At what time between 5 and 6, are the hands of a clock coincides ?

Options

A. a) 22 min past 5
B. b) 30 min past 5
C. c) `22(8)/(11)` past 5
D. d) `27 (3)/(11)` past 5

Answer

D

Explanation

From the figure, we find that minute hand is 25 min spaces apart from hour hand-in-order to coincide, it has to gain 25 min spaces. Now, 55 min are gained by minute hand in 60 min. 25min will be gained in
`(60)/(55) xx 25 = 27(3)/(11)` min
So, the hands will coincide at `27(3)/(11)` min past 5.