SOLUTION: The speed of a stream is 3 mph. A boat travels 8 miles upstream at the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water?

Question 153431: The speed of a stream is 3 mph. A boat travels 8 miles upstream at the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let x be the speed of the boat in still water.
So
The boat's downstream speed relative to the riverbank is x+3.
The boat's upstream speed relative to the riverbank is x-3.
Time spend traveling downstream is
Time spend traveling upstream is
As the time spend traveling downstream is the same as the time spend traveling upstream, we have:

Solving for x, we have:
(multiply both side by (x+3)(x-3)

So the speed of the boat in still water is 11 miles per hour.

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