SOLUTION: A kayak can travel 24 miles downstream in four hours, while it would take 12 hours to make the same trip upstream. Find the speed of the kayak in still water , as well as the speed

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Question 885470: A kayak can travel 24 miles downstream in four hours, while it would take 12 hours to make the same trip upstream. Find the speed of the kayak in still water , as well as the speed of the current. Hint make a table and recall d=r*t
Answer by lwsshak3(11628) About Me  (Show Source):
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A kayak can travel 24 miles downstream in four hours, while it would take 12 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 x=speed of kayak in still water
let c=speed of current
x+c=speed of kayak downstream
x-c=speed of kayak upstream
travel time*speed=distance (same for upstream and downstream)
..
4(x+c)=24
12(x-c)=24
..
4x+4c=24
12x-12c=24
..
12x+12c=72
12x-12c=24
add
24x=96
x=4
4c=24-4x=8
c=2
speed of kayak in still water=4 mph
speed of current=2 mph