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)![]() ![]() You can put this solution on YOUR website! 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( " \n" ); document.write( "reduce fractions \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "5 = 2.5x \n" ); document.write( "x = \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 \n" ); document.write( " \n" ); document.write( " |