document.write( "Question 309802: the speed of a stream is 4 mph. if a boat travels 74 miles downstream in the same time that it takes to travel 37 miles upstream, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #221575 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the speed of boat in still water be xmph. \n" ); document.write( "then downstream speed will be x+4 \n" ); document.write( "time taken to travel 74 kms downstream = 74/x+4 \n" ); document.write( ". \n" ); document.write( "Upstream speed will be x-4 mph. \n" ); document.write( "time taken for traveling 37 miles = 37/x-4 \n" ); document.write( ". \n" ); document.write( "both times are same. \n" ); document.write( ". \n" ); document.write( "74/x+4 = 37/x-4 \n" ); document.write( "74(x-4)=37(x+4) \n" ); document.write( "74x-296= 37x + 148 \n" ); document.write( "37x=148+296 \n" ); document.write( "37x= 444 \n" ); document.write( "x= 444/37 \n" ); document.write( "x= 12 mph boat rate in still water\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |