Interview Maths Puzzle Logical Reasoning Mathematical Reasoning

Generalize a formula for finding 1 different weighted ball for grp of eqully weighted balls (total no of balls may be variable say 104, 67 etc) in minimum attempts , using beam balance ?

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Jake left point A for point B. 2hours and 15 minutes later,Paul left A for B and arrived at B at the same time as Jake. Had both of them started simultaneously from A and B travelling towards each other, they would have met in 120 minutes.How much tlme (hours) did it take for the slower one to travel from A to B if the ratio of speeds of the faster to slower is 3:1? simplify 5^1.3 ???????