document.write( "Question 1093565: A boat can travel 26 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. (Enter an exact number as an integer, fraction, or decimal.)
\n" ); document.write( "r = _ mph \n" ); document.write( "
Algebra.Com's Answer #708181 by richwmiller(17219)\"\" \"About 
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I used c for current.
\n" ); document.write( "r*t=d
\n" ); document.write( "(26-c)*t=80
\n" ); document.write( "26*t-c*t=80\r
\n" ); document.write( "\n" ); document.write( "(26+c)*t=100
\n" ); document.write( "26*t-c*t=80
\n" ); document.write( "26*t+c*t=100
\n" ); document.write( "add
\n" ); document.write( "52t=180
\n" ); document.write( "t=180/52
\n" ); document.write( "t=3.46153846 hr
\n" ); document.write( "26*3.46153846+c*3.46153846=100
\n" ); document.write( "90.0+c*3.46153846=100
\n" ); document.write( "c*3.46153846=10.0
\n" ); document.write( "c=10.0/3.46153846
\n" ); document.write( "c=2.88888889 mph current
\n" ); document.write( "check
\n" ); document.write( "(26+c)*t=100
\n" ); document.write( "(26+2.88888889)*3.46153846=100
\n" ); document.write( "(28.8888889)*3.46153846=100
\n" ); document.write( "100.0=100\r
\n" ); document.write( "\n" ); document.write( "(26-c)*t=80
\n" ); document.write( "(26-2.88888889)*3.46153846=80
\n" ); document.write( "(23.1111111)*3.46153846=80
\n" ); document.write( "80.0=80
\n" ); document.write( "ok\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );