document.write( "Question 1032831: If a truck travels 280 miles in the same time that it takes a car to travel 455 miles, if the truck is 25 miles per hour slower than the car find the rates \n" ); document.write( "
Algebra.Com's Answer #647405 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
In all these kinds of problems, we know the rate times time equals distance, or rt = d.
\n" ); document.write( "Let us call the rate (or speed) of the truck, r.
\n" ); document.write( "Then the rate of the car is r+25.
\n" ); document.write( "The times each one travels are equal...so we can write (using t = d/r)
\n" ); document.write( "\"280%2Fr+=+455%2F%28r%2B25%29\"
\n" ); document.write( "Now cross-multiply and solve for r...we get
\n" ); document.write( "280r + 7000 = 455r
\n" ); document.write( "Subtract 280r and get
\n" ); document.write( "7000 = 175r
\n" ); document.write( "r = 40 mph (truck) and
\n" ); document.write( "r+25 = 65 mph (car)
\n" ); document.write( "
\n" );