SOLUTION: On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run down, what is t

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Question 1095829: On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run down, what is the total length of Ted's hike?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Same problem, different numbers.
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A person climbs to the top of a mountain at the rate of 1.5 km/h and down the same way at a rate of 4.5 km/h. If he is gone for 6 hours, how far did he travel from camp to the top of the mountain?
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Avg speed of the round trip = 2*1.5*4.5/(1.5+4.5) = 13.5/6 = 2.5 km/hr
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2.5*6 = 15 km round trip
--> 7.5 km each way