document.write( "Question 1028613: I need help on this plz A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad picks her up and drives her through the remainder of the way at 30 miles per hour. If they arrived at school at 9:00, how far did she walk? \n" ); document.write( "
Algebra.Com's Answer #643771 by KMST(5328)\"\" \"About 
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DISCLAIMER: No guarantees that this is the way your teacher thinks the problem should be solved. (The result is correct, though).
\n" ); document.write( "
\n" ); document.write( "ONE WAY:
\n" ); document.write( "\"x\"= distance the girl walked, in miles
\n" ); document.write( "\"20-x\"= distance the girl rode in her dad's car, in miles
\n" ); document.write( "\"d%2F3\"= time the girl spent walking towards school, in hours
\n" ); document.write( "\"%2830-d%29%2F30\"= time the girl spent riding in her dad's car towards school, in hours
\n" ); document.write( "\"%222+hours+10+minutes%22=2%261%2F6\"\"hours=13%2F6\"\"hours\"= total time walking and riding to school
\n" ); document.write( "\"d%2F3%2B%2830-d%29%2F30=13%2F6\" is our equation.
\n" ); document.write( "Multiplying times \"30\" ,
\n" ); document.write( "\"10d%2B30-d=65\"
\n" ); document.write( "\"10d-d=65-30\"
\n" ); document.write( "\"9d=45\"
\n" ); document.write( "\"d=45%2F9\"
\n" ); document.write( "\"highlight%28d=5%29\"
\n" ); document.write( "So the girl walked \"highlight%285miles%29\" before her dad picked her up.
\n" ); document.write( "
\n" ); document.write( "USING SYSTEMS OF EQUATIONS:
\n" ); document.write( "\"x\"= time walking to school, in hours
\n" ); document.write( "\"y\"= time riding to school, in hours
\n" ); document.write( "\"x%2By=130%2F60=13%2F6\"= total time walking and riding to school
\n" ); document.write( "\"3x\"= miles walked to school
\n" ); document.write( "\"30y\"= miles traveled by car going to school
\n" ); document.write( "\"3x%2B30y=20\"
\n" ); document.write( "\"system%28x%2By=13%2F6%2C3x%2B30y=20%29\"-->\"system%2830x%2B30y=65%2C3x%2B30y=20%29\"-->\"27x=45%29\"-->\"x=5%2F3\"-->\"3x=highlight%285%29\"
\n" ); document.write( "So the girl walked \"highlight%285miles%29\" before her dad picked her up.
\n" ); document.write( "
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