document.write( "Question 902629: Jake drives a tractor from one town to another, a distance of 130 kilometers. He drives 9 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way? \n" ); document.write( "
Algebra.Com's Answer #547442 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Jake drives a tractor from one town to another, a distance of 130 kilometers. He drives 9 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
\n" ); document.write( "

\n" ); document.write( "Let average speed during outbound trip be S
\n" ); document.write( "Then average speed during inbound trip is: S + 9
\n" ); document.write( "Time equation derived from this: \"130%2FS+=+130%2F%28S+%2B+9%29+%2B+1\"
\n" ); document.write( "130(S + 9) = 130(S) + S(S + 9) -------- Multiplying by LCD, S(S + 9)
\n" ); document.write( "\"130S+%2B+1170+=+130S+%2B+S%5E2+%2B+9S\"
\n" ); document.write( "\"130S+%2B+1170+=+S%5E2+%2B+139S\"
\n" ); document.write( "\"S%5E2+%2B+139S+-+130S+-+1170+=+0\"
\n" ); document.write( "\"S%5E2+%2B+9S+-+1170+=+0\"
\n" ); document.write( "(S - 30)(S + 39) = 0
\n" ); document.write( "S, or average speed during outbound trip = \"highlight_green%2830%29\" km//h
\n" ); document.write( "Average speed during inbound trip: 30 + 9, or \"highlight_green%2839%29\" km/h
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