document.write( "Question 29073: a boat travels 12 miles downstream in 1.5 hours. on the return trip the boat travles the same distance upstream in 2 hours. find the rate of the boat in still water and the rate of the current \n" ); document.write( "
Algebra.Com's Answer #15877 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Let the speed of the boat be x \n" ); document.write( "Let the speed of the current be y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.5(x+y)=12---->1.5x+1.5y=12 (1) \n" ); document.write( "solve for y in there. \n" ); document.write( "1.5y=12-1.5x \n" ); document.write( "y=8-x (subsitution)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "second equation: \n" ); document.write( "2(x-y)=12 \n" ); document.write( "2x-2y=12 \n" ); document.write( "Subsitute for y \n" ); document.write( "2x-2(8-x)=12 \n" ); document.write( "2x-16+2x=12 \n" ); document.write( "4x=28 \n" ); document.write( "x=7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=8-7 \n" ); document.write( "y=1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the speed of the boat is 7mph and the speed of the current 1mph. \n" ); document.write( "Paul. \n" ); document.write( " \n" ); document.write( " |