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)\"\" \"About 
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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( "\"%28%2821-b%29%29%2F2\" + \"b%2F46\" = 5
\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 = \"253%2F22\"
\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
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