document.write( "Question 682925: hey i need help on this one here would really appreciate it...\r
\n" ); document.write( "\n" ); document.write( "Harriet drove for 90 miles in the city. when she got on the highway she increased her speed by 20 mph and drove for 130 miles. If Harriet drove for a total of 4 hours, how fast did she drive on the highway?
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Algebra.Com's Answer #423395 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = her speed in mi/hr in the city
\n" ); document.write( "\"+s+%2B+20+\" = her speed in mi/hr on the highway
\n" ); document.write( "Let \"+t+\" = time in hrs she drove in the city
\n" ); document.write( "\"+4+-+t+\" = time in hrs she drove on the highway
\n" ); document.write( "---------------
\n" ); document.write( "Harriet's equation for the city:
\n" ); document.write( "(1) \"+90+=+s%2At+\"
\n" ); document.write( "Harriet's equation for the highway:
\n" ); document.write( "(2) \"+130+=+%28+s+%2B+20+%29%2A%28+4+-+t+%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+t+=+90%2Fs+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+130+=+4s+%2B+80+-+s%2At+-+20t+\"
\n" ); document.write( "(2) \"+130+=+4s+%2B+80+-+s%2A%28+90%2Fs+%29+-+20%2A%28+90%2Fs+%29+\"
\n" ); document.write( "(2) \"+130+=+4s+%2B+80+-+90+-+1800%2Fs+\"
\n" ); document.write( "(2) \"+130s+=+4s%5E2+-+10s+-+1800+\"
\n" ); document.write( "(2) \"+4s%5E2+-+140s+-+1800+=+0+\"
\n" ); document.write( "(2) \"+s%5E2+-+35s+-+450+=+0+\"
\n" ); document.write( "Use the quadratic formula
\n" ); document.write( "\"+s+=+%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+=+-35+\"
\n" ); document.write( "\"+c+=+-450+\"
\n" ); document.write( "\"+s+=+%28+-%28-35%29+%2B-+sqrt%28+%28-35%29%5E2+-+4%2A1%2A%28-450%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+s+=+%28+35+%2B-+sqrt%28+1225+%2B+1800+%29%29+%2F+2+\"
\n" ); document.write( "\"+s+=+%28+35+%2B-+sqrt%28+3025+%29%29+%2F+2+\"
\n" ); document.write( "\"+s+=+%28+35+%2B+55+%29+%2F+2+\"
\n" ); document.write( "\"+s+=+90%2F2+\"
\n" ); document.write( "\"+s+=+45+\"
\n" ); document.write( "and, since \"+s+%2B+20+\" = her speed on the highway,
\n" ); document.write( "\"+s+%2B+20+=+45+%2B+20+\"
\n" ); document.write( "\"+s+%2B+20+=+65+\"
\n" ); document.write( "She drove 65 mi/hr on the highway
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+130+=+%28+s+%2B+20+%29%2A%28+4+-+t+%29+\"
\n" ); document.write( "(2) \"+130+=+%28+45+%2B+20+%29%2A%28+4+-+t+%29+\"
\n" ); document.write( "(2) \"+130+=+65%2A%28+4+-+t+%29+\"
\n" ); document.write( "(2) \"+130+=+260+-+65t+\"
\n" ); document.write( "(2) \"+65t+=+130+\"
\n" ); document.write( "(2) \"+t+=+2+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(1) \"+t+=+90%2Fs+\"
\n" ); document.write( "(1) \"+t+=+90%2F45+\"
\n" ); document.write( "(1) \"+t+=+2+\" hrs
\n" ); document.write( "OK\r
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