document.write( "Question 442700: Marty drove his fully loaded moving van 270 miles to Memphis. With his van empty, Marty drove 15mi/h faster and made the return trip in 1.5 hours less. Find the speed going to Memphis \n" ); document.write( "
Algebra.Com's Answer #305402 by josmiceli(19441)\"\" \"About 
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Going to Memphis:
\n" ); document.write( "\"+d+=+r%2At+\"
\n" ); document.write( "Return trip:
\n" ); document.write( "\"+d+=+%28+r+%2B+15+%29%2A%28+t+-+1.5+%29+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+r%2At+=+%28+r+%2B+15+%29%2A%28+t+-+1.5+%29+\"
\n" ); document.write( "\"+r%2At+=+r%2At+%2B+15t+-+1.5r+-+22.5+\"
\n" ); document.write( "\"+1.5r+=+15t+-+22.5+\"
\n" ); document.write( "\"+15r+=+150t+-+225+\"
\n" ); document.write( "\"+r+=+10t+-+15+\"
\n" ); document.write( "--------------------
\n" ); document.write( "given:
\n" ); document.write( "\"+d+=+270+\"
\n" ); document.write( "\"+t+=+d%2Fr+\"
\n" ); document.write( "\"+t+=+270%2Fr+\"
\n" ); document.write( "\"+r+=+10t+-+15+\"
\n" ); document.write( "\"+r+=+10%2A%28270%2Fr%29+-+15+\"
\n" ); document.write( "\"+r%5E2+=+2700+-+15r+\"
\n" ); document.write( "\"+r%5E2+%2B+15r+-+2700+=+0+\"
\n" ); document.write( "\"r+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+15+\"
\n" ); document.write( "\"+c+=+-2700+\"
\n" ); document.write( "\"r+=+%28-15+%2B-+sqrt%28+15%5E2+-+4%2A1%2A%28-2700%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"r+=+%28-15+%2B-+sqrt%28+225+%2B+10800+%29%29+%2F+2+\"
\n" ); document.write( "\"r+=+%28-15+%2B-+sqrt%28+11025+%29%29+%2F+2+\"
\n" ); document.write( "\"r+=+%28-15+%2B+105%29+%2F+2+\"
\n" ); document.write( "\"r+=+90%2F2+\"
\n" ); document.write( "\"+r+=+45+\"
\n" ); document.write( "The speed going to Memphis was 45 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "\"d+=+r%2At+\"
\n" ); document.write( "\"+270+=+45%2At+\"
\n" ); document.write( "\"+t+=+6+\" hrs
\n" ); document.write( "and
\n" ); document.write( "\"+d+=+%28+r+%2B+15+%29%2A%28+t+-+1.5+%29+\"
\n" ); document.write( "\"+270+=+%28+45+%2B+15+%29%2A%28+6+-+1.5+%29+\"
\n" ); document.write( "\"+270+=+60%2A4.5+\"
\n" ); document.write( "\"+270+=+270+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );