If not I'll work on my by hand math skills...alternatively I'll use the pc calculator but oh boy that thing sucks. Alternatively I'll realize my logic is not optimal.
I think it's wrong, but I'm not recalculating it right now XD
How about emerald rides the bike, and tass carries fractal. Fractal and emerald would then switch after 10 miles. after 20, they'd switch again, until they reach the point of 30. And tass would carry each of them, and you didn't say he slows down if he carries them.
So:
(Emerald - 5mph for 10 miles) and (Tass carries Fractal, goes 5mph for 10 miles) = 2 hours.
Emerald and Fractal Switch.
(Fractal - 5mph for 10 miles) and (Tass carries Emerald, goes 5mph for 10 miles) = 2 hours.
Fractal and Emerald Switch.
(Emerald - 5mph for 10 miles) and (Tass carries Fractal, goes 5mph for 10 miles) = 2 hours.
So the final solution would be 6 hours. I'm not sure if this is the correct way though. But it looks like the optimal choice.
Reach: 7.3 is wrong. While you're right that one person gets there in 7.3 using what I think your strategy is, I think you'll find the other takes 8.
Ok, if I correct the error I seem to get 7.6 hours. I guess this is wrong, given other people have said it.
If there's a more complicated way of dealing with this for an optimal path I'll be interested in seeing the answer.
Personally, I assume everyone finishes at the same time. There's no benefit of having someone arrive at the finish before the others, since Tass can wheel the bike back to someone. Parsimoniously speaking, Tass should only backtrack on the bike once. Also, parsimoniously speaking, Tass should backtrack on the bike at the exact point when it will take the person he took the bike from the same time to reach the finish that it will take Tass to backtrack, give up the bike and then reach the finish with the other person.
First Idea:
The aim is to get the last person to arrive as quickly as possible. People
Im guessing the idea is that one rides the bike and then drops it, leaving the other to pick up and ride it. As far as im concerned Tass should walk the full distance, as when ever he rides the bike the others have to walk, which means they will arrive later.
So Tass gets there in 30/5, or 6 hours.
The other two I guess, as there stats are even should ride equal distances. So I say that they both take 15/5 + 15/3 hours each. Crap 8 hours.
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