document.write( "Question 303296: A family makes a 43.25 km trip in 5.5 hours. On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h. For the rest of the trip, they hiked on a scenic trail. If their average walking speed was 5 km/h, how far did they walk? \n" ); document.write( "
Algebra.Com's Answer #217448 by ankor@dixie-net.com(22740)\"\" \"About 
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A family makes a 43.25 km trip in 5.5 hours.
\n" ); document.write( " On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h.
\n" ); document.write( " For the rest of the trip, they hiked on a scenic trail.
\n" ); document.write( " If their average walking speed was 5 km/h, how far did they walk?
\n" ); document.write( ":
\n" ); document.write( "let x = distance walked
\n" ); document.write( "then
\n" ); document.write( "(43.25-x) = distance paddled
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "walk time + paddle time = 5.5 hrs
\n" ); document.write( "\"x%2F5\" + \"%2843.25-x%29%2F12\" = 5.5
\n" ); document.write( "Multiply by 60 to clear the denominators, results
\n" ); document.write( "12x + 5(43.25-x) = 60(5.5)
\n" ); document.write( ":
\n" ); document.write( "12x + 216.25 - 5x = 330
\n" ); document.write( ":
\n" ); document.write( "12x - 5x = 330 - 216.25
\n" ); document.write( ":
\n" ); document.write( "7x = 113.75
\n" ); document.write( "x = \"113.75%2F7\"
\n" ); document.write( "x = 16.25 km walked
\n" ); document.write( "then
\n" ); document.write( "43.25 - 16.25 = 27 km paddled
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions by finding the total time
\n" ); document.write( "16.25/5 =3.25 hrs
\n" ); document.write( "27/12 = 2.25 hrs
\n" ); document.write( "------------------
\n" ); document.write( "total hrs:5.5 hrs, confirms our solutions of x = 16.25 km walked
\n" ); document.write( " \n" ); document.write( "
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