Four Scouts have to cross a dangerous bridge to get to their campground. It is nighttime and they have one candle between them, which will burn for a mere 17 minutes after it is lit. If the candle goes out once it is lit, they have no way to re-light it. The bridge will hold, at most, two Scouts, at a time with each group; it cannot be thrown or it will go out. each Scout walks at a different rate, and any two Scouts walking together must walk at the rate of the slower camper’s rate. The Scouts walk at the following rates:         Carolyn      1 minute to cross         Amanda      2 minutes to cross         Jo           5 minutes to cross         Tony         10 minutes to cross Can they make it across, and of so how?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Four Scouts have to cross a dangerous bridge to get to their campground. It is nighttime and they have one candle between them, which will burn for a mere 17 minutes after it is lit. If the candle goes out once it is lit, they have no way to re-light it. The bridge will hold, at most, two Scouts, at a time with each group; it cannot be thrown or it will go out. each Scout walks at a different rate, and any two Scouts walking together must walk at the rate of the slower camper’s rate. The Scouts walk at the following rates:

        Carolyn      1 minute to cross

        Amanda      2 minutes to cross

        Jo           5 minutes to cross

        Tony         10 minutes to cross

Can they make it across, and of so how?

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