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)/55__min. = 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.