document.write( "Question 350769: The speed of a stream is 4mph. A boat travels 8 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat in the water? \n" ); document.write( "
Algebra.Com's Answer #250752 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the speed of boat in still water be x mph \n" ); document.write( "speed of current 4 mph \n" ); document.write( ".. \n" ); document.write( "speed upstream = x-4 mph \n" ); document.write( "speed downstream = x+4\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "distance = 8 miles upstream \n" ); document.write( "time upstream = 8/x-4 \n" ); document.write( ".. \n" ); document.write( "time downstream = 16/x+4) \n" ); document.write( ".. \n" ); document.write( "both the times are same \n" ); document.write( ".. \n" ); document.write( "8/(x-4) = 16/(x+4) \n" ); document.write( "8(x+4)=16(x-4) \n" ); document.write( "8x+32=16x-64 \n" ); document.write( "16x-8x=64+32 \n" ); document.write( "8x=96 \n" ); document.write( "x= 12 mph speed of boat in still water \n" ); document.write( " |