SOLUTION: with a current, you can canoe 64 miles in 4 hours. Against the same current, you can canoe only 3/4 of this distance in 6 hours. Find your rate in still water

Question 834528: with a current, you can canoe 64 miles in 4 hours. Against the same current, you can canoe only 3/4 of this distance in 6 hours. Find your rate in still water
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
with a current, you can canoe 64 miles in 4 hours.
Against the same current, you can canoe only 3/4 of this distance in 6 hours.
Find your rate in still water.
:
Find the distance against the current. *64 = 48 miles
:
Let s = canoe speed in still water
let c = rate of the current
then
(s+c) = effective speed with the current
and
(s-c) = effective speed against
:
Write a distance equation for each way. dist = time * speed
4(s+c) = 64
6(s-c) = 48
Simplify, divide the 1st equation by 4, the 2nd equation by 6, results
s + c = 16
s - c = 8
--------------Addition eliminates c find s
2s + 0 = 24
s = 24/2
s = 12 mph is the speed in still water
:
:
You can confirm this yourself, find the rate of the current.
Check it in both equations
RELATED QUESTIONS
With the current, you can canoe 104 miles in 4 hours. Against the same current, you can... (answered by lwsshak3)

To go to a campsite 12 miles away, you paddle a canoe against the current of a river for... (answered by ankor@dixie-net.com)

With the current you can row 24 miles in 3 hours. Against the same current, you can row... (answered by mananth)

the water current is 2 miles per hour . a canoe can travel 6 mile downstream with the... (answered by scott8148)

DIRECTIONS: USE THE STEPS FOR SOLVING A SYSTEM OF LINEAR EQUATIONS OR INEQUALITIES TO... (answered by stanbon)

Paddling a canoe with current you can go 12 miles in 2 hours,but against the current the... (answered by MathLover1)

I need to solve the following word problem using the system of linear equations in two... (answered by checkley77)

With the current, you can row 24 miles in 4 hours. Against the same current, you can only (answered by ewatrrr)