document.write( "Question 405406: A motorboat goes 5 miles upstream in the same time it requires to 7 miles downstream. If the river flows at 2mph, find the speed of the boat in still water. \n" ); document.write( "
Algebra.Com's Answer #286332 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the speed of boat be x mph \n" ); document.write( "speed of current = 2mph\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "upstream speed = x-2 mph \n" ); document.write( "downstream speed = x+2 mph \n" ); document.write( ".. \n" ); document.write( "Time = distance/speed\r \n" ); document.write( "\n" ); document.write( "time upstream time downstrea \n" ); document.write( ".. \n" ); document.write( "5/(x-2)=7/(x+2) \n" ); document.write( "cross multiply \n" ); document.write( "5(x+2)=7(x-2) \n" ); document.write( "5x+10=7x-14 \n" ); document.write( "2x=24 \n" ); document.write( "/2 \n" ); document.write( "x=12 mph====> speed of boat\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |