document.write( "Question 28317: The speed of a stream is 4 mph. If a boat travels 52 miles downstream in the same time that it takes to travel 26 miles upstream, what is the speed on the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #15391 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! The thing that stays the same for both trips is elapsed time\r \n" ); document.write( "\n" ); document.write( "Solve the rate formula for t \n" ); document.write( "time = distance / rate \n" ); document.write( "The times are equal, so \n" ); document.write( " \n" ); document.write( "The rate for downstream is the rate in still water + rate of the current \n" ); document.write( "The rate for upstream is the rate in still water - rate of the current \n" ); document.write( "Fill in the values \n" ); document.write( "Call the rate in still water r \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "So, the speed in still water is 12 mph \n" ); document.write( "Check by plugging into equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Checks \n" ); document.write( " |