SOLUTION: A kayak can travel 64 miles downstream in 8 hours, while it would take 32 hours to make the same trip upstream. Find the speed of the kayak in still water, as well as the speed of

Algebra ->  Expressions-with-variables -> SOLUTION: A kayak can travel 64 miles downstream in 8 hours, while it would take 32 hours to make the same trip upstream. Find the speed of the kayak in still water, as well as the speed of      Log On


   

Question 850275: A kayak can travel 64 miles downstream in 8 hours, while it would take 32 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 the still water, and let c represent the speed of the current
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
k = kayak speed in still water
c = speed of water current

_________________speed________time______distance
downstream_______k+c__________8_________64
upstream_________k-c__________32_____(k-c)*32

Check for a few seconds and find the two needed equations.

Downstream equation: highlight_green%28%28k%2Bc%29%2A8=64%29
Distance of trip either direction: highlight_green%28%28k-c%29%2A32=64%29

Work with those.