document.write( "Question 80653: 3. Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.\r
\n" ); document.write( "\n" ); document.write( "y=time
\n" ); document.write( "xy=600
\n" ); document.write( "(x+20)(y-1)=600\r
\n" ); document.write( "\n" ); document.write( "Now what do I do?
\n" ); document.write( "

Algebra.Com's Answer #57870 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
This is the way I do it
\n" ); document.write( "d = distance
\n" ); document.write( "s = speed
\n" ); document.write( "t = time
\n" ); document.write( "\"600+%2F+s+=+t\"
\n" ); document.write( "\"600+%2F+%28s%2B20%29+=+t+-+1\"
\n" ); document.write( "substitute
\n" ); document.write( "\"600+%2F+%28s%2B20%29+=+600%2Fs+-+1\"
\n" ); document.write( "\"600%2F%28s%2B20%29+-+600%2Fs+=+-1\"
\n" ); document.write( "\"600%281%2F%28s%2B20%29+-+1%2Fs%29+=+-1\"
\n" ); document.write( "\"1%2F%28s%2B20%29+-+1%2Fs+=+-600\"
\n" ); document.write( "\"1%2Fs+-+1%2F%28s%2B20%29+=+600\"
\n" ); document.write( "the common denominator is \"s%28s%2B20%29\"
\n" ); document.write( "\"%28s+%2B+20+-s%29+%2F+s%28s%2B20%29+=+600\"
\n" ); document.write( "\"s%28s%2B20%29+=+12000\"
\n" ); document.write( "\"s%5E2+%2B+20s+-+12000+=+0\"
\n" ); document.write( "\"s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"s+=+%28-20+%2B-+sqrt%28+20%5E2-4%2A1%2A%28-12000%29+%29%29%2F%282%2A1%29\"
\n" ); document.write( "\"s+=+%28-20+%2B-+sqrt%28400+%2B+48000%29%29+%2F+2\"
\n" ); document.write( "\"s+=+%28-20+%2B-+220%29+%2F+2\"
\n" ); document.write( "\"s+=+100\" (reject the negative answer)
\n" ); document.write( "check the answer
\n" ); document.write( "\"600+%2F+s+=+t\"
\n" ); document.write( "\"600+%2F+%28s%2B20%29+=+t+-+1\"
\n" ); document.write( "\"600%2F100+=+6\"
\n" ); document.write( "\"600+%2F+120+=+6+-+1\"
\n" ); document.write( "\"5+=+5\"
\n" ); document.write( "OK
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