document.write( "Question 993957: Wendy took a trip from city A to city B, a distance of 910 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. The bus averaged 30 mi/h, and the train averaged 115 mi/h. The entire trip took
\n" ); document.write( "10 1/2h.
\n" ); document.write( " How long did Wendy spend on the train?
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Algebra.Com's Answer #613130 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = distance in miles she traveled by bus
\n" ); document.write( "\"+910+-+d+\" = distance in miles she traveled by train
\n" ); document.write( "Let \"+t+\" = time in hrs she spent on bus
\n" ); document.write( "\"+10.5+-+t+\" = time in hrs she spent on train
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Equation for bus:
\n" ); document.write( "(1) \"+d+=+30t+\"
\n" ); document.write( "Equation for train:
\n" ); document.write( "(2) \"+910+-+d+=+115%2A%28+10.5+-+t+%29+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+910+-+30t+=+115%2A%28+10.5+-+t+%29+\"
\n" ); document.write( "(2) \"+910+-+30t+=+1207.5+-+115t+\"
\n" ); document.write( "(2) \"+85t+=+297.5+\"
\n" ); document.write( "(2) \"+t+=+3.5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+10.5+-+t+=+10.5+-+3.5+\"
\n" ); document.write( "\"+10.5+-+t+=+7+\"
\n" ); document.write( "Wendy spent 7 hrs on the train
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+30t+\"
\n" ); document.write( "(1) \"+d+=+30%2A3.5+\"
\n" ); document.write( "(1) \"+d+=+105+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+910+-+d+=+115%2A%28+10.5+-+t+%29+\"
\n" ); document.write( "(2) \"+910+-+d+=+115%2A%28+10.5+-+3.5+%29+\"
\n" ); document.write( "(2) \"+910+-+d+=+805+\"
\n" ); document.write( "(2) \"+d+=+105+\"
\n" ); document.write( "OK
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