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Solution to:
Spirited Soldier
The relative speed of the courier (compared to the column) is v-6 on
the journey to the front, and v+6 on the way back.
The distance travelled (relatively to the column) by the courier is in both cases 1 km,
therefore the total time he is biking is
The column travels 1 km in 10 minutes (1/6 hour), therefore
This can be written as a quadratic equation
(v+6) + (v-6) = (v-6) × (v+6) / 6
with as only allowed solution
v = 6 + 6 × sqrt(2) km/h (approximately 14,49 km/h).
 back to the puzzle
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