SOLUTION: The speed of a boat in still water is 7 miles per hour. If the boat travels 6 miles downstream in the same amount of time it takes to travel 2.5 miles upstream, what is the speed o

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Question 833319: The speed of a boat in still water is 7 miles per hour. If the boat travels 6 miles downstream in the same amount of time it takes to travel 2.5 miles upstream, what is the speed of the current?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The speed of a boat in still water is 7 miles per hour. If the boat travels 6 miles downstream in the same amount of time it takes to travel 2.5 miles upstream, what is the speed of the current?
***let
let c=speed of current
7+c=speed of boat downstream
7-c=speed of boat upstream
travel time=distance/speed
..
6%2F%287%2Bc%29=2.5%2F%287-c%29
42-6c=17.5+2.5c
8.5c=24.5
c≈2.88
speed of current≈2.88 mph