SOLUTION: On a canoe trip, Rita paddled upstream at an average speed of 2mi/h relative to the riverbank. On the return trip downstream, her average speed was 3mi/h. Find Rita's paddling spee
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Question 122158This question is from textbook Algebra I
: On a canoe trip, Rita paddled upstream at an average speed of 2mi/h relative to the riverbank. On the return trip downstream, her average speed was 3mi/h. Find Rita's paddling speed in still water and the speed of the river's current.
We need the linear equation as well as the answer.
This question is from textbook Algebra I
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
On a canoe trip, Rita paddled upstream at an average speed of 2mi/h relative to the riverbank. On the return trip downstream, her average speed was 3mi/h. Find Rita's paddling speed in still water and the speed of the river's current.
We need the linear equation as well as the answer.
:
Actually we can use two linear equations to solve this:
:
Let x = paddling speed in still water
Let y = speed of the current
:
x + y = 3; downstream
x - y = 2: upstream
------------adding eliminates y, find x
2x = 5
x = 5/2
x = 2.5 mph is the paddling speed in still water
:
Then
2.5 + y = 3
y = 3 - 2.5
y = .5 mph is the speed of the current
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