document.write( "Question 891938: At noon, a car left a gas station and traveled north at an average of r miles per hour. The car reached its destination t hours later. At 1:00 pm, a van left the same gas station and traveled south, Its average speed was 5 mph greater than the car's average speed. Write a polynomial expression (in two variables) that represents the total distance between the car and the van at the time that the car reached its destination. \n" ); document.write( "

Algebra.Com's Answer #540221 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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At noon, a car left a gas station and traveled north at an average of r miles per hour. The car reached its destination t hours later.
\n" ); document.write( "rt = car dist
\n" ); document.write( ":
\n" ); document.write( " At 1:00 pm, a van left the same gas station and traveled south, Its average speed was 5 mph greater than the car's average speed.
\n" ); document.write( "(r+5)(t-1) = van dist
\n" ); document.write( "FOIL
\n" ); document.write( "rt - r + 5t - 5 = van dist
\n" ); document.write( ":
\n" ); document.write( " Write a polynomial expression (in two variables) that represents the total distance between the car and the van at the time that the car reached its destination.
\n" ); document.write( "d = rt + rt-r+5t-5
\n" ); document.write( "d = 2rt - r + 5t - 5 \n" ); document.write( "

\n" );