document.write( "Question 1087615: It is 440km to Detroit. It took me 5hours to drive there. Part of the time I was traveling 100km/h on the 401 and part of the time I was travelling 60km/h on HWY7. How long was I on each road. Create and solve a system for full marks. \n" ); document.write( "
Algebra.Com's Answer #701917 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = distance in km travelled on 401
\n" ); document.write( "\"+440+-+d+\" = distance in km travelled on HWY7
\n" ); document.write( "Let \"+t+\" = time in hrs spent on 401
\n" ); document.write( "\"+5+-+t+\" = time in hrs spent on HWY7
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "Equation for travelling on 401:
\n" ); document.write( "(1) \"+d+=+100t+\"
\n" ); document.write( "Equation for travelling on HWY7:
\n" ); document.write( "(2) \"+440+-+d+=+60%2A%28+5+-+t+%29+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+440+-+100t+=+60%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+440+-+100t+=+300+-+60t+\"
\n" ); document.write( "(2) \"+40t+=+140+\"
\n" ); document.write( "(2) \"+t+=+3.5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+5+-+t+=+5+-+3.5+\"
\n" ); document.write( "\"+5+-+t+=+1.5+\"
\n" ); document.write( "------------------------
\n" ); document.write( "3.5 hrs were spent on 401
\n" ); document.write( "1.5 hrs were spent on HWY7
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+100t+\"
\n" ); document.write( "(1) \"+d+=+100%2A3.5+\"
\n" ); document.write( "(1) \"+d+=+350+\" km
\n" ); document.write( "and
\n" ); document.write( "(2) \"+440+-+d+=+60%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+440+-+d+=+60%2A%28+5+-+3.5+%29+\"
\n" ); document.write( "(2) \"+440+-+d+=+60%2A1.5+\"
\n" ); document.write( "(2) \"+440+-+d+=+90+\"
\n" ); document.write( "(2) \"+d+=+350+\" km
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );