document.write( "Question 596056: Ed and Allice walked to the dock at 5 miles per hour, jumped into the boat and motored to Destin at 15 miles per hour. If the total distance was 20 miles and the trip took 2 hours in all, how far did they go by boat? Begin by drawing a diagram of distances travelled and writing the distance equation. \n" ); document.write( "
Algebra.Com's Answer #377468 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Ed and Alice walked to the dock at 5 miles per hour, jumped into the boat and motored to Destin at 15 miles per hour. If the total distance was 20 miles and the trip took 2 hours in all, how far did they go by boat? \n" ); document.write( "--------------------- \n" ); document.write( "Walk DATA: \n" ); document.write( "rate = 5 mph ; time = x hrs ; distance = 5x miles \n" ); document.write( "---------------------------------------------- \n" ); document.write( "Boat DATA: \n" ); document.write( "rate = 15 mph ; time = 2-x hrs ; distance = 15(2-x) miles \n" ); document.write( "------------ \n" ); document.write( "Equation: \n" ); document.write( "distance + distance = 20 miles \n" ); document.write( "5x + 30-15x = 20 \n" ); document.write( "-10x = -10 \n" ); document.write( "x = 1 hr (walking time) \n" ); document.write( "2-x = 1 hr (boat time) \n" ); document.write( "Boat distance = 15x = 15 miles \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================================== \n" ); document.write( " |