document.write( "Question 298692: pat and jeff walked to the dock at 3 miles per hour, jumped into the boat, and motored into Dillion at 11 miles per hour. If the total distance was 44 miles and the trip took 6 hours in all, how far did they go by boat ? \n" ); document.write( "
Algebra.Com's Answer #214781 by mananth(16946)![]() ![]() You can put this solution on YOUR website! pat and jeff walked to the dock at 3 miles per hour, jumped into the boat, and motored into Dillion at 11 miles per hour. If the total distance was 44 miles and the trip took 6 hours in all, how far did they go by boat ?\r \n" ); document.write( "\n" ); document.write( "let them go by boat for x miles \n" ); document.write( "rate of boat = 11mph \n" ); document.write( "time taken by boat = x/11 \n" ); document.write( "- \n" ); document.write( "total distance =44 miles\r \n" ); document.write( "\n" ); document.write( "walking distance = 44-x \n" ); document.write( "rate of walking = 3 mph\r \n" ); document.write( "\n" ); document.write( "time walked = 44-x / 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x/11 + 44-x / 3 = 6 \r \n" ); document.write( "\n" ); document.write( "3x+11(44-x) / 33 =6\r \n" ); document.write( "\n" ); document.write( "3x+484 -11x =33*6\r \n" ); document.write( "\n" ); document.write( "-8x=198-484\r \n" ); document.write( "\n" ); document.write( "-8x= -286\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=35.75 miles -- distance by boat.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |