document.write( "Question 969347: Imogene's car traveled 770 mi averaging a certain speed. If the car has gone 7 mph faster, the trip would have taken 1 hour less. Find the average speed. \n" ); document.write( "
Algebra.Com's Answer #592250 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = her normal speed in mi/hr
\n" ); document.write( "\"+s+%2B+7+\" = her faster speed in mi/hr
\n" ); document.write( "Let \"+t+\" = her time in hours
\n" ); document.write( "when traveling at \"+s+\" mi/hr
\n" ); document.write( "\"+t+-+1+\" = her time in hours when
\n" ); document.write( "traveling at \"+s+%2B+7+\" mi/hr
\n" ); document.write( "----------------------------------
\n" ); document.write( "Equation for traveling at normal speed
\n" ); document.write( "(1) \"+770+=+s%2At+\"
\n" ); document.write( "Equation for traveling at faster speed
\n" ); document.write( "(2) \"+770+=+%28+s%2B7+%29%2A%28+t+-+1+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+770+=+s%2At+%2B+7t+-+s+-+7+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+=+770%2Ft+\"
\n" ); document.write( "(2) \"+770+=+%28+770%2Ft+%29%2At+%2B+7t+-+770%2Ft+-+7+\"
\n" ); document.write( "(2) \"+770+=+770+%2B+7t+-+770%2Ft+-+7+\"
\n" ); document.write( "(2) \"+0+=+7t+-+770%2Ft+-+7+\"
\n" ); document.write( "(2) \"+770%2Ft++=+7t+-+7+\"
\n" ); document.write( "Multiply both sides by \"+t+\"
\n" ); document.write( "(2) \"+770+=+7t%5E2+-+7t+\"
\n" ); document.write( "(2) \"+7t%5E2+-+7t+-+770+=+0+\"
\n" ); document.write( "(2) \"+t%5E2+-+t+-+110+=+0+\"
\n" ); document.write( "(2) \"+%28+t+-+11+%29%2A%28+t+%2B+10+%29+\" ( by looking at it )
\n" ); document.write( "\"+t+=+11+\" ( time must be positive )
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+=+770%2Ft+\"
\n" ); document.write( "(1) \"+s+=+770%2F11+\"
\n" ); document.write( "(1) \"+s+=+70+\"
\n" ); document.write( "the average speed is 70 mi/hr
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+770+=+%28+s%2B7+%29%2A%28+t+-+1+%29+\"
\n" ); document.write( "(2) \"+770+=+%28+70%2B7+%29%2A%28+11+-+1+%29+\"
\n" ); document.write( "(2) \"+770+=+77%2A10+\"
\n" ); document.write( "(2) \"+770+=+770+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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