document.write( "Question 1158409: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 375 miles​ apart, their combined travel time is 9 hours. If Thaddeus drives at a rate of 40 miles per hour and Ian drives at a rate of 45 miles per​ hour, how long had each been​ driving? \n" ); document.write( "
Algebra.Com's Answer #781370 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = the distance the slower one travels
\n" ); document.write( "\"+375+-+d+\" = the distance the faster one travels
\n" ); document.write( "Let \"+t+\" = the time the slower one travels
\n" ); document.write( "\"+9+-+t+\" = the time the faster one travels
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+d+=+40t+\"
\n" ); document.write( "(2) \"+375+-+d+=+45%2A%28+9+-+t+%29+\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "(2) \"+375+-+d+=+405+-+45t+\"
\n" ); document.write( "(2) \"+d+=+45t+-+30+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+40t+=+45t+-+30+\"
\n" ); document.write( "(2) \"+5t+=+30+\"
\n" ); document.write( "(2) \"+t+=+6+\"
\n" ); document.write( "and
\n" ); document.write( "\"+9+-+t+=+3+\"
\n" ); document.write( "---------------------
\n" ); document.write( "The slower one travels for 6 hrs
\n" ); document.write( "The faster one travels for 3 hrs
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+40t+\"
\n" ); document.write( "(1) \"+d+=+40%2A6+\"
\n" ); document.write( "(1) \"+d+=+240+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+375+-+d+=+45%2A%28+9+-+t+%29+\"
\n" ); document.write( "(2) \"+375+-+d+=+45%2A%28+9+-+6+%29+\"
\n" ); document.write( "(2) \"+375+-+d+=+45%2A3+\"
\n" ); document.write( "(2) \"+d+=+375+-+135+\"
\n" ); document.write( "(2) \"+d+=+240+\"
\n" ); document.write( "OK\r
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