at 344/11 min. past 5.
at 346/11 min. past 5.
at 348/11 min. past 5.
at 349/11 min. past 5.
B. at 346/11 min. past 5.
At 5 o'clock, the minute hand is 25 min. spaces behind the hour hand.
Case I. Minute hand is 3 min. spaces behind the hour hand.
In this case, the minute hand has to gain' (25 - 3) = 22 minute spaces. 55 min. are gained in 60 min.
22 min. are gained in (60*22)/55min. = 24 min.
:. The hands will be 3 min. apart at 24 min. past 5.
Case II. Minute hand is 3 min. spaces ahead of the hour hand.
In this case, the minute hand has to gain (25 + 3) = 28 minute spaces. 55 min. are gained in 60 min.
28 min. are gained in (60 x 28_)/55=346/11
The hands will be 3 min. apart at 346/11 min. past 5.