Find the smallest set of distinct whole numbers that contains one 1, two 2s, three 3s, ..., nine 9s

Smallest refers to the sum of the numbers in the set.

Captain Kirk’s starship leaves Earth for Planet X at the same time Marvin the Martian’s starship leaves Planet X for Earth. Each ship travels at a constant velocity, but one is faster than the other. After meeting and passing, Kirk requires 22.5 hours to reach Planet X, while Marvin requires only 10 hours to reach Earth. Exactly what total time did each starship require for its interplanetary journey? Assume stationary planets.

Credit for this problem goes to Cliff Pickover

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Posted on 2009-07-03 by K Sengupta (No Solution Yet, 1 Comments)

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