document.write( "Question 116318This question is from textbook
\n" );
document.write( ": I'm supposed to use the five step method to solve this, but no quite sure what that is. The problem is:\r
\n" );
document.write( "\n" );
document.write( "A sailboat travels 20 miles downstream in three hours. It returns in four hours. Find the speed of the sailboat in still water and the rate of the current. \n" );
document.write( "
Algebra.Com's Answer #84579 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A sailboat travels 20 miles downstream in three hours. It returns in four hours. Find the speed of the sailboat in still water and the rate of the current. \n" ); document.write( "------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "Distance = 20 miles ; time = 3 hrs ; rate = 20/3 mph \n" ); document.write( "--------------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "Distance = 20 miles ; time = 4 hrs ; rate = 20/4 = 5 mph \n" ); document.write( "---------------------------- \n" ); document.write( "Let the speed of the boat be \"b\" ; Let the speed of the current be \"c\" \n" ); document.write( "----------------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "b+c = 20/3 mph \n" ); document.write( "b-c = 5 mph \n" ); document.write( "----------- \n" ); document.write( "2b = 20/3 + 15/3 = 35/3 \n" ); document.write( "b = 35/6 = 5 5/6 mph (speed of the boat in still water) \n" ); document.write( "Substitute to solve for \"c\": \n" ); document.write( "35/6 + c = 20/3 \n" ); document.write( "c = 40/6-35/6 \n" ); document.write( "c = 5/6 mph (speed of the current) \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |