document.write( "Question 786176: After driving 126mi, Syd found that the drive would have taken 1 hr. less time by increasing the speed by 8 mph. What was the actual speed? \n" ); document.write( "
Algebra.Com's Answer #477832 by josmiceli(19441)\"\" \"About 
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\"+d+=+r%2At+\"
\n" ); document.write( "In the actual case:
\n" ); document.write( "\"+126+=+r%2At+\"
\n" ); document.write( "In the other case:
\n" ); document.write( "\"+126+=+%28+r%2B8+%29%2A%28+t-1+%29+\"
\n" ); document.write( "\"+126+=+r%2At+%2B+8t+-+r+-+8+\"
\n" ); document.write( "\"+126+=+r%2A%28+t-1+%29+%2B+8t+-+8+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "\"+126+=+%28+126%2Ft+%29%2A%28+t-1+%29+%2B+8t+-+8+\"
\n" ); document.write( "Multiply both sides by \"+t+\"
\n" ); document.write( "\"+126t+=+126%2A%28+t-1+%29+%2B+8t%5E2+-+8t+\"
\n" ); document.write( "\"+126t+=+126t+-+126+%2B+8t%5E2+-+8t+\"
\n" ); document.write( "\"+8t%5E2+-+8t+-+126+=+0+\"
\n" ); document.write( "\"+4t%5E2+-+4t+-+63+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+4+\"
\n" ); document.write( "\"+b+=+-4+\"
\n" ); document.write( "\"+c+=+-63+\"
\n" ); document.write( "\"+t+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A4%2A%28-63%29+%29%29%2F%282%2A4%29+\"
\n" ); document.write( "\"+t+=+%28+4+%2B-+sqrt%28+16+%2B+1008+%29%29%2F8+\"
\n" ); document.write( "\"+t+=+%28+4+%2B-+sqrt%28+1024+%29%29%2F8+\"
\n" ); document.write( "\"+t+=+%28+4+%2B+32+%29+%2F+8+\"
\n" ); document.write( "\"+t+=+36%2F8+\"
\n" ); document.write( "\"+t+=+4.5+\"
\n" ); document.write( "and, since
\n" ); document.write( "\"+126+=+r%2At+\"
\n" ); document.write( "\"+126+=+r%2A4.5+\"
\n" ); document.write( "\"+r+=+126%2F4.5+\"
\n" ); document.write( "\"+r+=+28+\"
\n" ); document.write( "The actual speed was 28 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "\"+126+=+%28+r%2B8+%29%2A%28+t-1+%29+\"
\n" ); document.write( "\"+126+=+%28+28%2B8+%29%2A%28+4.5-1+%29+\"
\n" ); document.write( "\"+126+=+36%2A3.5+\"
\n" ); document.write( "\"+126+=+126+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );