SOLUTION: A kayak can travel 30 miles downstream in 2 ​hours, while it would take 10 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the sp

Algebra ->  Equations -> SOLUTION: A kayak can travel 30 miles downstream in 2 ​hours, while it would take 10 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the sp      Log On


   

Question 1192914: A kayak can travel 30 miles downstream in 2 ​hours, while it would take 10 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
What is speed of the kayak in still​ water?
When a plane flies with the​ wind, it can travel 1680 miles in 4 hours. When the plane flies in the opposite​ direction, against the​ wind, it takes 5 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.

The rate of the wind is ____ miles per hour.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The rate of the wind is ____ miles per hour.
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This is not useful.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                SPEED      TIME       DISTANCE

DOWNSTREAM       k+c        2          2(k+c)=30

UPSTREAM         k-c       10         10(k-c)=30

The distances are equal.
system%282%28k%2Bc%29=30%2C10%28k-c%29=30%29

system%28k%2Bc=15%2Ck-c=3%29--------solve this for k and c.