document.write( "Question 1048257: A boat can travel 34 mph in still water. If the boat can travel 100 miles with the current in the same time it can travel 80 miles against the current, find the rate of the current r in miles per hour. \n" ); document.write( "
Algebra.Com's Answer #663851 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
velocity * time=distance; x=current velocity in mph
\n" ); document.write( "(34 mph+x)*time=100 miles
\n" ); document.write( "time=100/(34+x)
\n" ); document.write( "time =(80)/(34-x), going upstream
\n" ); document.write( "These times are equal so set the other sides equal to each other.\r
\n" ); document.write( "\n" ); document.write( "100/(34+x)=(80)/(34-x)
\n" ); document.write( "cross-multiply
\n" ); document.write( "2720+80x=3400-100x
\n" ); document.write( "180x=680
\n" ); document.write( "x=3.78 mph ANSWER (3 7/9 exact)
\n" ); document.write( "37.78 mph downstream and takes 2.65 hr.
\n" ); document.write( "30.22 mph or 30 7/9 mph upstream and takes 2.65 hrs.
\n" ); document.write( "
\n" ); document.write( "
\n" );