document.write( "Question 135537This question is from textbook
\n" ); document.write( ": A student walks and jogs to college each day. The student averages 5km/h walking and 9km/h jogging. The distance from home to college is 8km, and the student makes the trip in 1 hour. How far does the student jog? \n" ); document.write( "
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A student walks and jogs to college each day. The student averages 5km/h walking and 9km/h jogging. The distance from home to college is 8km, and the student makes the trip in 1 hour. How far does the student jog?
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\n" ); document.write( "Let x = distance jogged
\n" ); document.write( "then
\n" ); document.write( "(8-x) = distance walked:
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = dist/speed
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\n" ); document.write( "Walk time + jog time = 1 hr
\n" ); document.write( "\"%28%288-x%29%29%2F5\" + \"x%2F9\" = 1
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\n" ); document.write( "Multiply equation by 45 to get rid of the denominators
\n" ); document.write( "45*\"%28%288-x%29%29%2F5\" + 45*\"x%2F9\" = 45(1)
\n" ); document.write( "9(8-x) + 5x = 45
\n" ); document.write( ":
\n" ); document.write( "72 - 9x + 5x = 45
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\n" ); document.write( "-4x = 45 - 72
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\n" ); document.write( "-4x = -27
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\n" ); document.write( "x = -27/-4
\n" ); document.write( ":
\n" ); document.write( "x = 6.75 km jogged
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\n" ); document.write( ":
\n" ); document.write( "Check solution: 8 - 6.75 = 1.25 km walked; check using the time equation
\n" ); document.write( "1.25/5 + 6.75/9 =
\n" ); document.write( ".25 + .75 = 1
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