Ok, new puzzle.
Alice, Bob, and their dog Cujo all start at the same point. Alice and Bob begin walking down the same path in the same direction: Alice walks at 4km/h, Bob at 3km/h. Cujo, meanwhile, runs back and forth on the path between Alice and Bob at 10km/h (ie. he runs until he meets Alice, then immediately turns around and runs until he meets Bob then turns around again to run to Alice etc, always staying on the path).
Assume they all travel at constant speed the entire time.
After 1 hour, Alice is 4km down the path from the start point. Bob is 3km on the path from the start point. Where on the path is Cujo?
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