document.write( "Question 320479: The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which the boat travels in still water is 5 times the rate of the river current, what is the rate of the current? \n" ); document.write( "
Algebra.Com's Answer #229597 by ankor@dixie-net.com(22740)\"\" \"About 
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The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return.
\n" ); document.write( "If the rate at which the boat travels in still water is 5 times the rate of the
\n" ); document.write( "river current, what is the rate of the current?
\n" ); document.write( ":
\n" ); document.write( "let x = rate of the current
\n" ); document.write( "and
\n" ); document.write( "5x = rate of the boat in still water
\n" ); document.write( "then
\n" ); document.write( "5x - x = 4x; effective rate upstream
\n" ); document.write( "and
\n" ); document.write( "5x + x = 6x; effective rate downstream
\n" ); document.write( ":
\n" ); document.write( "write a time equation, time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "Upstream time + downstream time = 2.5 hrs
\n" ); document.write( "\"12%2F4x\" + \"12%2F6x\" = 2.5 hrs
\n" ); document.write( "reduce fractions
\n" ); document.write( "\"3%2Fx\" + \"2%2Fx\" = 2.5
\n" ); document.write( "\"5%2Fx\" = 2.5
\n" ); document.write( "5 = 2.5x
\n" ); document.write( "x = \"5%2F2.5\"
\n" ); document.write( "x = 2 mph is the rate of the current
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution find the times; boat rate 2(5) = 10 mph
\n" ); document.write( "12/8 = 1.5 hr
\n" ); document.write( "12/12 = 1 hr
\n" ); document.write( "-------------
\n" ); document.write( "total: 2.5 hr
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