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

Correct Answer: 24min

Explanation:

In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart


  Case 1 : (5*x + t) * 12/11


 (5*5 + 3) * 12/11


 28 * 12/11 = 336/11=  31 5 11  min


therefore the hands will be 3 min apart at 31 5/11 min past 5.


Case 2 : (5*x - t) * 12/11


(5*5 -3 ) * 12/11


 22 *12/11 = 24 min 


 therefore the hands will be 3 min apart at 24 min past 5


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