document.write( "Question 467408: aaron and jessica walk to the dock at 2 miles per hour,jumped into the boat, and motored to denver at 46 miles per hour. If the toatal distance was 21 miles and the trip took 5 hours in all, how far did they go by boat? \n" ); document.write( "
Algebra.Com's Answer #320732 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! aaron and jessica walk to the dock at 2 miles per hour,jumped into the boat, \n" ); document.write( " and motored to denver at 46 miles per hour. \n" ); document.write( "If the total distance was 21 miles, and the trip took 5 hours in all, how far did they go by boat? \n" ); document.write( ": \n" ); document.write( "Let b = distance traveled by boat \n" ); document.write( "then, since the total dist was 21 mi, we can say: \n" ); document.write( "(21-b) = distance walked \n" ); document.write( ": \n" ); document.write( "Write a time equation, time = dist/speed \n" ); document.write( "walk time + boat travel time = 5 hrs \n" ); document.write( " \n" ); document.write( "we can clear the denominators by multiplying by 46, results: \n" ); document.write( "23(21-b) + b = 46(5) \n" ); document.write( "483 - 23b + b = 230 \n" ); document.write( "-23b + b = 230 - 483 \n" ); document.write( "-22b = -253 \n" ); document.write( "b = \n" ); document.write( "b = 11.5 mi by boat \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this, 21 - 11.5 = 9.5 mi walking \n" ); document.write( "Walk time: 9.5/2 = 4.75 hrs \n" ); document.write( "Boat time: 11.5/46 = .25 hrs \n" ); document.write( "----------------------------- \n" ); document.write( "total travel time: 5 hrs \n" ); document.write( " |