document.write( "Question 1061259: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 355 miles​ apart, their combined travel time is 11 hours. If Thaddeus drives at a rate of 30 miles per hour and Ian drives at a rate of 35 miles per​ hour, how long had each been​ driving? \n" ); document.write( "
Algebra.Com's Answer #676041 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Accounting for time quantities seems like a good way to think this, but not so good trying to see points on a time line. All we know of time is the sum of their travel times.
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document.write( "PERSON           SPEED           TIME        DISTANCE\r\n" );
document.write( "Thaddeus          30              t\r\n" );
document.write( "Ian               35              i\r\n" );
document.write( "Total                             11           355\r\n" );
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document.write( "\r\n" );
document.write( "PERSON           SPEED           TIME        DISTANCE\r\n" );
document.write( "Thaddeus          30              t            30t\r\n" );
document.write( "Ian               35              i            35i\r\n" );
document.write( "Total                             11           355\r\n" );
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\n" ); document.write( "\n" ); document.write( "\"t%2Bi=11\"
\n" ); document.write( "-
\n" ); document.write( "Distance sum, \"30t%2B35i=355\"
\n" ); document.write( "\"6t%2B7i=71\"
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\n" ); document.write( "Solve this system for the times, t and i:
\n" ); document.write( "\"system%28t%2Bi=11%2C6t%2B7i=71%29\".
\n" ); document.write( "Use the Elimination Method.
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