PROBLEM # 1
A boy has four red marbles and eight black marbles.  He arranges his twelve marbles randomly, in a ring.  What is the probability that no two red marbles are adjacent?

PROBLEM #2
Find the smallest positive integer such that when its last digit is moved to the start of the number (example: 1234 becomes 4123) the resulting number is larger than and is an integral multiple of the original number.  

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Problems from 10/13/11

PROBLEM # 1
Boris hiked up a mountain trail and camped overnight at the top. The next day he returned down the same trail. His average rate traveling uphill was 2.4 kilometers per hour and his average rate downhill was 3.6 kilometers per hour. If he spent a total of 11 hours hiking, how long was the trail?

SOLUTION 1
15.84 km.

~580 feet.

Congratulations to Anindya Basu, Kishore Balsara and Suhas Joglekar, who were the winners of the last set of puzzles.

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