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At what time between 5 and 6 o'clock are the hands of a clock 3minapart?

   

A. at 344/11 min. past 5.

B. at 346/11 min. past 5.

C. at 348/11 min. past 5.

D. at 349/11 min. past 5.

Correct Answer :

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.