molten charm
Here I have a problem that I don't even know how one would go about solving. I have the word problem listed below:
A timer has two parts: A counter and a collision tower.
The collision tower is made up of 16 pairs, each with an agent and a target.
All of the targets start 1 unit away from their corresponding agent.
Every second, agent 1 (The agent on pair 1) moves 1/30th of a unit towards target 1.
When agent 1 reaches target 1, target 1 moves 2 units farther away from agent 1, and agent 1 returns to it's starting position, and agent 2 moves 1/30th of a unit towards target 2.
This logic applies all the way up through the 16th pair.
However, when agent 16 reaches target 16, the counter increments by 1. Target 16 still moves away and agent 16 still returns to it's starting position.
How many seconds will have passed when the counter reaches 10^72?
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