At what time, (in minutes) between 3 O' clock and 4 O'clock both the needles will coincide with each other ?

Options

A. `5(1'')/(11)`
B. `12(4'')/(11)`
C. `13(4'')/(11)`
D. `16(4'')/(11)`

Answer

D

Explanation

At 3 O.clock. the minute hand is 15 min away from the hour hand. To coincide. it must gain 15 min as 55 min are gained in 60min.
15 mrn are garned in `((60)/(5%) xx 15)` min `= 16(4)/(11)` min. Hence. the hands are coincide at `16(4)/(11)` min past 3