document.write( "Question 636940: I am not sure how to figuere out the answer to these two questions:
\n" ); document.write( "21.) The makimum speed of a barge in still water is 8 miles per hour. At this rate, a 30 mile trip downstream (with the current) takes as much time as an 18 mile trip upstream (against the current).
\n" ); document.write( "A. Find the rational expressions that measure the amount of time it takes for the barge to go downstream and upstream if c represents the speed of the current.
\n" ); document.write( "B. What is the speed of the current?\r
\n" ); document.write( "\n" ); document.write( "Please tell me what I should do on this question.
\n" ); document.write( "Thank you Tim
\n" ); document.write( "

Algebra.Com's Answer #401311 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The makimum speed of a barge in still water is 8 miles per hour. At this rate, a 30 mile trip downstream (with the current) takes as much time as an 18 mile trip upstream (against the current).
\n" ); document.write( "A. Find the rational expressions that measure the amount of time it takes for the barge to go downstream and upstream if c represents the speed of the current.
\n" ); document.write( "Downstream DATA:
\n" ); document.write( "distance = 30 miles ; rate = 8+c ; time = 30/(8+c) hrs
\n" ); document.write( "-----
\n" ); document.write( "Upstream DATA:
\n" ); document.write( "distance = 18 miles ; rate = 8-c ; time 18/(8-c) hrs
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "time up = time down
\n" ); document.write( "18/(8-c) = 30/(8+c)
\n" ); document.write( "18(8+c) = 30(8-c)
\n" ); document.write( "144 + 18c = 240 - 30c
\n" ); document.write( "48c = 96
\n" ); document.write( "c = 2 mph (speed of the current)
\n" ); document.write( "===================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=================
\n" ); document.write( "B. What is the speed of the current?
\n" ); document.write( "
\n" ); document.write( "
\n" );