SOLUTION: A motorboat travels 846 miles in 9 hours going upstream and 544 miles in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A motorboat travels 846 miles in 9 hours going upstream and 544 miles in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?      Log On


   

Question 300824: A motorboat travels 846 miles in 9 hours going upstream and 544 miles in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer by Alan3354(69443) About Me  (Show Source):
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A motorboat travels 846 miles in 9 hours going upstream and 544 miles in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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846/9 = 94 mph upstream
544/4 = 136 mph downstream
The boat's speed is the average
(94 + 136)/2 = 115 mph
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The current is the difference
115 - 94 = 21 mph