SOLUTION: A kayaker can travel 1.2 miles downstream in the same time it takes him to go 0.4 miles upstream. If the river curent flows at 2 mph, what is the kayaker's speed in still water? If

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Question 1088250: A kayaker can travel 1.2 miles downstream in the same time it takes him to go 0.4 miles upstream. If the river curent flows at 2 mph, what is the kayaker's speed in still water? If the kayaker starts to freeze, can he build a fire in his kayak? Why or why not?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A kayaker can travel 1.2 miles downstream in the same time it takes him to go 0.4 miles upstream.
If the river curent flows at 2 mph, what is the kayaker's speed in still water?
:
let s = his speed in still water
then
(s+2) = his speed downstream
and
(s-2) = his speed upstream
:
Write a time equation: time = dist'speed
upstream time = downstream time
1.2%2F%28s%2B2%29+=+.4%2F%28s-2%29
cross multiply
1.2(s-2) = .4(s+2)
Distribute
1.2s - 2.4 = .4s + .8
1.2s - .4s = .8 + 2.4
.8s = 3.w
s = 3.2/.8
s = 4 mph in still water
:
:
Check this find the actual time each way, should be equal
effective speed are 6 mph downstream and 2 mph upsteam
1.2/6 = .2 hrs
.4/2 = .2 hrs

If the kayaker starts to freeze, can he build a fire in his kayak? Why or why not?
Dumb question