document.write( "Question 1014272: A motorist averaged 670 miles in 12 hours. Before 4 pm, he averaged 60 mph and after 4 pm he averaged 50 mph. At what time did he begin his trip and at what time did he end it? \n" ); document.write( "
Algebra.Com's Answer #630601 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = distance in miles he covered before 4 PM
\n" ); document.write( "\"+670+-+d+\" = distance in miles he covered after 4 PM
\n" ); document.write( "Let \"+t+\" = time of trip before 4 PM
\n" ); document.write( "\"+12+-+t+\" = time of trip after 4 PM
\n" ); document.write( "--------------------------------
\n" ); document.write( "Equation before 4 PM:
\n" ); document.write( "(1) \"+d+=+60t+\"
\n" ); document.write( "Equation after 4 PM:
\n" ); document.write( "(2) \"+670+-+d+=+50%2A%28+12+-+t+%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+670+-60t+=+50%2A%28+12+-+t+%29+\"
\n" ); document.write( "(2) \"+670+-60t+=+600+-+50t+\"
\n" ); document.write( "(2) \"+10t+=+670+-+600+\"
\n" ); document.write( "(2) \"+10t+=+70+\"
\n" ); document.write( "(2) \"+t+=+7+\"
\n" ); document.write( "and
\n" ); document.write( "\"+12+-+t+=+5+\"
\n" ); document.write( "--------------
\n" ); document.write( "7 hrs before 4 PM is 9AM
\n" ); document.write( "5 hrs after 4 PM is 9 PM
\n" ); document.write( "----------------------
\n" ); document.write( "He began at 9AM and ended at 9 PM
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+60t+\"
\n" ); document.write( "(1) \"+d+=+60%2A7+\"
\n" ); document.write( "(1) \"+d+=+420+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+670+-+d+=+50%2A%28+12+-+t+%29+\"
\n" ); document.write( "(2) \"+670+-+d+=+50%2A%28+12+-7+%29+\"
\n" ); document.write( "(2) \"+670+-+d+=+250+\"
\n" ); document.write( "(2) \"+d+=+670+-+250+\"
\n" ); document.write( "(2) \"+d+=+420+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );