Two travellers left their hotel at 3:00 pm. On level ground, they traveled at a speed of 4 mi/hr. Going up a mountain, they traveled at a speed of 3 mi/hr. Going down the mountain, they traveled at a speed of 6 mi/hr. They expect to arrive back at their hotel by 9:00 pm. Determine:
a) At what time did they reach the top of the mountain?
b) How many miles will they have traveled in all?
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I stayed up until about 2:00 am last night trying to solve this puzzle. And the harder I tried, the more impossible it seemed. By the time I looked up the answer, I was too tired to understand it, except that it was vastly simpler than my "longer, more scenic route." Classic.
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