document.write( "Question 67070This question is from textbook Algebra 1
\n" ); document.write( ": A student walks and jogs to college each day. The student averages 5 km/h walking and 9 km/h jogging. The distance from home to college is 8 km, and the student makes the trip in 1 hour. How far does the student jog?
\n" ); document.write( "THANK YOU!!!
\n" ); document.write( "

Algebra.Com's Answer #47714 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A student walks and jogs to college each day. The student averages 5 km/h walking and 9 km/h jogging. The distance from home to college is 8 km, and the student makes the trip in 1 hour. How far does the student jog?
\n" ); document.write( ":
\n" ); document.write( "Let x = the distance jogged
\n" ); document.write( "Then (8-x) = distance walked
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "Jog time + walk time = 1 hr
\n" ); document.write( "\"x%2F9\" + \"%28%288-x%29%29%2F5%29\" = 1
\n" ); document.write( ":
\n" ); document.write( "Multiply thru by 45 to get rid of the denominators, resulting in:
\n" ); document.write( "5x + 9(8-x) = 45
\n" ); document.write( ":
\n" ); document.write( "5x + 72 - 9x = 45
\n" ); document.write( "-4x = 45 - 72
\n" ); document.write( "-4x = -27
\n" ); document.write( "x = -27/-4
\n" ); document.write( "x = + 6.75 km jogged
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check: 8 - 6.75 = 1.25 km walked
\n" ); document.write( "6.75/9 + 1.25/5 =
\n" ); document.write( " .75 + .25 = 1
\n" ); document.write( ":
\n" ); document.write( "How about this, did it make sense to you?
\n" ); document.write( "
\n" ); document.write( "
\n" );