document.write( "Question 1173839: After sailing 13 mi, a sailor changed direction and increased the boat's speed by 4 mph. An additional 17 mi was sailed at the increased speed. The total sailing time was 2 h. Find the rate of the boat for the first 13 mi. \n" ); document.write( "
Algebra.Com's Answer #799157 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the slower rate, in miles per hour.\r\n" ); document.write( "\r\n" ); document.write( "Then the faster rate is (x+4) mph.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The time equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved (mentally).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Alternatively, you can solve equation (*) by reducing it to a quadratic equation, if you want.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |