document.write( "Question 213801: A boat can go 33 mph in still water.It take as long to go 300 milles uptream as it does to go downsteam 360 milles . How fast is the current? \n" ); document.write( "
Algebra.Com's Answer #161711 by drj(1380) You can put this solution on YOUR website! A boat can go 33 mph in still water. It take as long to go 300 miles upstream as it does to go downstream 360 miles . How fast is the current?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let v be the velocity of the current.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Speed of boat in still water is 33 mph. Velocity going upstream is 33-v and velocity going downsteam is 33+v\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Distance=Time*Velocity and Upstream time = Downstream time\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Upstream time = Distance/Velocity=300/(33-v)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Downstream time = 360/(33+v)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. Set expressions in Step 4 and 5 to be equal since time traveled upstream equals to time traveled downstream. Then\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply by (33-v)(33+v) to both sides of equation to get rid of denominators.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 60 to both sides of equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 6v-165 to both sides of equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 33 to both sides of equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. So velocity of current is 3 mph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |