At what time between 4 and 5 o’clock will the hands of a watch point in opposite directions?  Choose the correct choice from the following choices.
A) 54 6/11 min. past 4
B) 50 min. past 4
C) 45 min past 4
D) 40 min past 4
E) None
Sol.   At 4 o’clock, the hands of the watch are 20 min. spaces apart.   To be in opposite directions, they must be 30 min. spaces apart.   ∴ Minute hand will have to gain 50 min. spaces.   55 min. spaces are gined in 60 min.   50 min. spaces are gained in [60/55 * 50] min. or 54 6/11 min.   ∴ Required time = 54 6/11 min. past 4   54 6/11 min. past 4nswer 54 6/11 min. past 4
<result>A</result>
At what time between 4 and 5 o’clock will the hands of a watch point in opposite directions?