document.write( "Question 631659: A motorboat can maintain a constant speed of 16 mph relative to the water. The boat makes a trip upstream to a marina in 20 minutes. The return trip takes 15 minutes. What is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #397730 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let current speed = x mph\r \n" ); document.write( "\n" ); document.write( "upstream speed = 16-x mph \n" ); document.write( "downstream speed= 16+x mph\r \n" ); document.write( "\n" ); document.write( "Time upstream = 1/3 hours \n" ); document.write( "Time downstream = 1/4 hours\r \n" ); document.write( "\n" ); document.write( "Distance upstream = distance downstream\r \n" ); document.write( "\n" ); document.write( "distance = speed * time\r \n" ); document.write( "\n" ); document.write( "1/3(16-x) = 1/4(16+x)\r \n" ); document.write( "\n" ); document.write( "multiply equation by LCD 12 \n" ); document.write( "4(16-x)=3(16+x) \n" ); document.write( "64-4x = 48+3x \n" ); document.write( "64-48= 7x \n" ); document.write( "16=7x \n" ); document.write( "x= 16/7\r \n" ); document.write( "\n" ); document.write( "x= 2.3 mph the current speed \n" ); document.write( " |