SOLUTION: The speed of a stream is 2 mph. A boat travels 8 miles upstream in the same time it takes to travel 12 miles downstream. What is the speed of the boat in still water? The speed i

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Question 750284: The speed of a stream is 2 mph. A boat travels 8 miles upstream in the same time it takes to travel 12 miles downstream. What is the speed of the boat in still water?
The speed is ___ mph.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
we solve as a proportion:

downstream
(v+2)t=12
t=12/(v+2)

upstream:
by same reasoning
t=8/(v-2)

setting t's equal and simplifying

v=10 mph


:)