document.write( "Question 122158This question is from textbook Algebra I
\n" ); document.write( ": 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.\r
\n" ); document.write( "\n" ); document.write( "We need the linear equation as well as the answer. \n" ); document.write( "
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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.
\n" ); document.write( "We need the linear equation as well as the answer.
\n" ); document.write( ":
\n" ); document.write( "Actually we can use two linear equations to solve this:
\n" ); document.write( ":
\n" ); document.write( "Let x = paddling speed in still water
\n" ); document.write( "Let y = speed of the current
\n" ); document.write( ":
\n" ); document.write( "x + y = 3; downstream
\n" ); document.write( "x - y = 2: upstream
\n" ); document.write( "------------adding eliminates y, find x
\n" ); document.write( "2x = 5
\n" ); document.write( "x = 5/2
\n" ); document.write( "x = 2.5 mph is the paddling speed in still water
\n" ); document.write( ":
\n" ); document.write( "Then
\n" ); document.write( "2.5 + y = 3
\n" ); document.write( "y = 3 - 2.5
\n" ); document.write( "y = .5 mph is the speed of the current
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