document.write( "Question 1185095: A boat travels between two cities that are 11 miles apart. When going downstream, with the current, the trip takes 11/17 hour(s). Returning upstream, against the current, the boat covers the same distance in 11/15
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document.write( "What is the current of the river? \r
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document.write( "What is the speed of the boat in still water? \n" );
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Algebra.Com's Answer #815847 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A boat travels between two cities that are 11 miles apart. \n" ); document.write( " When going downstream, with the current, the trip takes 11/17 hour(s). \n" ); document.write( " Returning upstream, against the current, the boat covers the same distance in 11/15 hour(s). \n" ); document.write( ": \n" ); document.write( "Let s = speed of the boat in still water \n" ); document.write( "let c = the rate of the current \n" ); document.write( "then \n" ); document.write( "(s+c) = speed downstream \n" ); document.write( "and \n" ); document.write( "(s-c) = speed upstream \n" ); document.write( ": \n" ); document.write( "Write a two dist equations, dist = time * speed \n" ); document.write( " \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "s + c = 11 * \n" ); document.write( "s + c = 17 \n" ); document.write( "and \n" ); document.write( "s - c = 11 * \n" ); document.write( "s - c = 15 \n" ); document.write( "Use elimination \n" ); document.write( "s + c = 17 \n" ); document.write( "s - c = 15 \n" ); document.write( "-------------addition eliminates c, find s \n" ); document.write( "2s + 0 = 32 \n" ); document.write( "s = 32/2 \n" ); document.write( "s = 16 mph is the boat speed in still water \n" ); document.write( ": \n" ); document.write( "find the current \n" ); document.write( "16 + c = 17 \n" ); document.write( "c = 17 - 16 \n" ); document.write( "c = 1 mph is the current \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the solutions in the equation: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "17 cancels \n" ); document.write( "11 = 11 \n" ); document.write( " |