document.write( "Question 1009462: A woman drives 10 miles then increases her speed by 10 miles per hour and drives another 25 miles. Find the original speed if she drove for 45 minutes \n" ); document.write( "
Algebra.Com's Answer #624960 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
Let the original speed be \"s%28+mil%2Fh%29\". \r
\n" ); document.write( "\n" ); document.write( "distance:
\n" ); document.write( "\"d=st\"=>\"10mil=st\"
\n" ); document.write( "time: \"t=10%2Fs\"\r
\n" ); document.write( "\n" ); document.write( "\"d=%28s%2B10%29t\"=>\"25mil=st\"
\n" ); document.write( "time: \"t=25%2F%28s%2B10%29\"\r
\n" ); document.write( "\n" ); document.write( "if time \"t=45min\"=>\"t=%2845%2F60%29h\"=>\"t=0.75h\"\r
\n" ); document.write( "\n" ); document.write( "then we have:\r
\n" ); document.write( "\n" ); document.write( "\"10%2Fs+%2B+25%2F%28s%2B10%29+=+0.75\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10%28s%2B10%29+%2Fs%28s%2B10%29++%2B+25%2F%28s%2B10%29+=+0.75\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%2810s%2B100%29++%2B+25s%29%2Fs%28s%2B10%29+=+0.75\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%2810s%2B100+%2B+25s%29=+0.75%2As%28s%2B10%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"100+%2B+35s=+0.75%28s%5E2%2B10s%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"100+%2B+35s=+0.75s%5E2%2B7.5s+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=+0.75s%5E2%2B7.5s-35s-100\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+0.75s%5E2-27.5s-100=0\"..........use quadratic formula\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"s+=+%2827.5+%2B-+sqrt%28756.25%2B300+%29%29%2F1.5+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"s+=+%2827.5+%2B-+sqrt%281056.25+%29%29%2F1.5+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"s+=+%2827.5+%2B-+32.5%29%2F1.5+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "we need only positive solution, speed cannot be negative value\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"s+=+%2827.5+%2B+32.5%29%2F1.5+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"s+=+60%2F1.5+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28s+=+40mph%29\"-> original speed\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );