document.write( "Question 965068: Greg drove at a constant speed in a rainstorm for 294 miles. He took a break, and the rain stopped. He then drove 156 miles at a speed that was 3 mph faster than his pervious speed. If he drove for 9 hours, find the cars speed for each part of the trip. \n" ); document.write( "

Algebra.Com's Answer #589838 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time in hours for 1st trip
\n" ); document.write( " $\"+9+-+t+\"$ = time in hours for 2nd trip
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+156+%2F+%28+9+-+t+%29+=+294+%2F+t+%2B+3+\"$
\n" ); document.write( "Multiply both sides by $\"+t%2A%28+9+-+t+%29+\"$
\n" ); document.write( " $\"+156t+=+294%2A%28+9+-+t+%29+%2B+3%2At%2A%28+9+-+t+%29+\"$
\n" ); document.write( " $\"+156t+=+2646+-+294t+%2B+27t+-+3t%5E2+\"$
\n" ); document.write( " $\"+3t%5E2+%2B+423t+-+2646++=+0+\"$
\n" ); document.write( " $\"+t%5E2+%2B+141t+-+882+=+0+\"$
\n" ); document.write( "-------------------------
\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( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+141+\"$
\n" ); document.write( " $\"+c+=+-882+\"$
\n" ); document.write( "First find $\"+t+\"$
\n" ); document.write( "Find $\"+294%2Ft+\"$
\n" ); document.write( "Then find
\n" ); document.write( " $\"+156+%2F+%28+9-t+%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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