document.write( "Question 1087754: Joe and Nancy decide to take a road trip. The first 120 miles of the drive is pretty​ easy, while the last 84 miles of the drive is filled with curves. They drove at an average of 9 miles per hour faster for the first 120 miles of the trip. The entire trip took 3 hours. How fast were Joe and Nancy driving for the first 120 miles of the​ trip?
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Algebra.Com's Answer #702052 by MathTherapy(10552)\"\" \"About 
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Joe and Nancy decide to take a road trip. The first 120 miles of the drive is pretty​ easy, while the last 84 miles of the drive is filled with curves. They drove at an average of 9 miles per hour faster for the first 120 miles of the trip. The entire trip took 3 hours. How fast were Joe and Nancy driving for the first 120 miles of the​ trip?
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Let speed during the 120-mile trip be S
\n" ); document.write( "Then speed during the 84-mile trip = S – 9
\n" ); document.write( "We then get the following TIME equation: \"120%2FS+%2B+84%2F%28S+-+9%29+=+3\"
\n" ); document.write( "120(S – 9) + 84S = 3S(S – 9) -------- Multiplying by LCD, S(S – 9)
\n" ); document.write( "\"120S+-+%221%2C080%22+%2B+84S+=+3S%5E2+-+27S\"
\n" ); document.write( "\"3S%5E2+-+27S+-+204S+%2B+%221%2C080%22+=+0\"
\n" ); document.write( "\"3S%5E2+-+231S+%2B+%221%2C080%22+=+0\"
\n" ); document.write( "\"3%28S%5E2+-+77S+%2B+360%29+=+3%280%29\"
\n" ); document.write( "\"S%5E2+-+77S+%2B+360+=+0\"
\n" ); document.write( "(S - 72)(S - 5) = 0
\n" ); document.write( "S - 72 = 0 OR S - 5 = 0
\n" ); document.write( "S, or OR S = 5 (ignore) \n" ); document.write( "
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