document.write( "Question 317840: A motorboat takes 4 hours to travel 192 miles going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? \n" ); document.write( "
Algebra.Com's Answer #227614 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let speed of boat be x mph \n" ); document.write( "speed of current be y mph \n" ); document.write( ".. \n" ); document.write( "speed * time = distance \n" ); document.write( "4(x-y)=192 \n" ); document.write( "x-y=48 \n" ); document.write( ".. \n" ); document.write( "2(x+y)=192 \n" ); document.write( "x+y=96 \n" ); document.write( "add both the equations \n" ); document.write( "x-y+x+y=96+48 \n" ); document.write( "2x=144 \n" ); document.write( "x=72 mph. speed of boat \n" ); document.write( ".. \n" ); document.write( "x-y=48 \n" ); document.write( "72-y=48 \n" ); document.write( "y=72-48 \n" ); document.write( "24 mph speed of current \n" ); document.write( " |