document.write( "Question 1102120: Greg drove at a constant speed in a rainstorm for 258 miles. He took a​ break, and the rain stopped He then drove 208 miles at a speed that was 9 miles per hour faster than his previous speed. If he drove for 10 ​hours, find the​ car's speed for each part of the trip. THANK YOU!! \n" ); document.write( "
Algebra.Com's Answer #716748 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = time in hrs for 258 mi trip
\n" ); document.write( "\"+10+-+t+\" = time in hrs for 208 mi trip
\n" ); document.write( "Let \"+s+\" = speed in mi/hr for 258 mi trip
\n" ); document.write( "\"+s+%2B+9+\" = speed in mi/hr for 208 mi trip
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) \"+258+=+s%2At+\"
\n" ); document.write( "(2) \"+208+=+%28+s+%2B+9+%29%2A%28+10+-+t+%29+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) \"+208+=+10s+%2B+90+-+s%2At+-+9t+\"
\n" ); document.write( "(2) \"+208+=+10s+%2B+90+-+t%28+s+%2B+9+%29+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+t+=+258%2Fs+\"
\n" ); document.write( "Plug this into (2)
\n" ); document.write( "(2) \"+208+=+10s+%2B+90+-+%28+258%2Fs+%29%2A%28+s+%2B+9+%29+\"
\n" ); document.write( "(2) \"+118+=+10s+-+258+-+2322%2Fs+\"
\n" ); document.write( "(2) \"+376+=++10s+-+2322%2Fs+\"
\n" ); document.write( "(2) \"+376s+=+10s%5E2+-+2322+\"
\n" ); document.write( "(2) \"+10s%5E2+-+376s+-+2322+=+0+\"
\n" ); document.write( "(2) \"+5s%5E2+-+188s+-+1161+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+s+=+%28+-b+%2B-sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%28+2a+%29+\"
\n" ); document.write( "\"+a+=+5+\"
\n" ); document.write( "\"+b+=+-188+\"
\n" ); document.write( "\"+c+=+-1161+\"
\n" ); document.write( "\"+s+=+%28+188+%2B-sqrt%28+35344+-+4%2A5%2A%28+-1161+%29%29%29+%2F+10+\"
\n" ); document.write( "\"+s+=+%28+188+%2B-+sqrt%28+3544+%2B+23220+%29%29+%2F+10+\"
\n" ); document.write( "\"+s+=+%28+188+%2B+sqrt%28+26764+%29+%29%2F10+\"
\n" ); document.write( "\"+s+=+%28+188+%2B+163.6+%29+%2F+10+\"
\n" ); document.write( "\"+s+=+351.6%2F10+\"
\n" ); document.write( "\"+s+=+35.16+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+%2B+9+=+44.16+\"
\n" ); document.write( "--------------------
\n" ); document.write( "He drove 35.16 mi/hr for 1st part and
\n" ); document.write( "44.16 mi/hr for 2nd part
\n" ); document.write( "------------------------
\n" ); document.write( "Get another opinion unless you know
\n" ); document.write( "what answer is. Check math too.\r
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