At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
Select:
A) 5 1/11 ° B) 12 4/11 ° C) 13 4/11° D) 16 4/11° E) None
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.   15 min. are gained in   = (60/55 x 15)min   =16x4/11   The hands are coincident at 16x4/11 min past3.   Answer 16 4/11°
<result>D</result>
At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?