Two boats travelling at a constant speed start moving at the same instant from opposite sides of the Hudson River, one going from New York City to Jersey City, and the other from Jersey City to New York City. They pass one another at a point 720 yards from the New York shore.
After arriving at their respective destinations, each boat spends precisely 10 minutes at the opposite shore to change passengers before switching directions. On the return trip, the two boats meet at a point 400 yards from the Jersey shore.
After arriving at their respective destinations, each boat again spends precisely 10 minutes at the opposite shore to change passengers before switching directions. How far from the New York shore will the two boats be when they meet for the third time?
(Hint: Find the width of the river. When the two boats meet for the first time, they will have travelled a total distance of one width of the river. How many widths will they have travelled by the time they meet the second time? (The answer is NOT two widths.) By the time thet meet the third time? Do the 10 minutes even matter?)
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