document.write( "Question 1071860: The speed of a river current is 4 mph. If a boat travels 20 miles downstream in the same time that it takes to travel 10 miles upstream, find the speed of the boat in still water.
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Algebra.Com's Answer #686780 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! current is 4 mph \n" ); document.write( "speed of boat =x \n" ); document.write( "downstream, speed is 4+x and time is 20/x+4, because time is distance over speed. \n" ); document.write( "upstream, speed is 4-x and time is 10/x-4 \n" ); document.write( "The two times are equal \n" ); document.write( "so 20/x+4=10/x-4 \n" ); document.write( "20x-80=10x+40 \n" ); document.write( "10x=120 \n" ); document.write( "x=12 mph \n" ); document.write( "16 mph downstream and takes 1h15m to go 20 miles (1.25 hr) \n" ); document.write( "8 mph upstream and takes 1h15m to go 10 miles. \n" ); document.write( " |