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)![]() ![]() 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( " \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( " |