document.write( "Question 984779: two trucks leave a warehouse at the same time and travel in opposite directions. the faster truck travels on average about 8 mph faster than the other truck. after 5 hours the trucks are 580 miles apart. how fast does each truck travel? \n" ); document.write( "
Algebra.Com's Answer #605696 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "The trucks separate at a rate of 580mi/5hrs=116 mph \n" ); document.write( "116 mph is the sum of the two trucks speeds. \n" ); document.write( ". \n" ); document.write( "S=rate of slower truck; F=rate of faster truck=S+8mph \n" ); document.write( ". \n" ); document.write( "S+F=116mph \n" ); document.write( "S+(S+8)=116mph \n" ); document.write( "2S=108mph \n" ); document.write( "S=54mph ANSWER 1: The slower truck averages 54 mph. \n" ); document.write( "F=S+8mph=54mph+8mph=62mph ANSWER 2: The faster truck travels 62 mph. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "Distance of slower truck + distance of faster truck=580 mi \n" ); document.write( "(5 hrs)(54 mph)+(5hrs)(62mph)=580 mi \n" ); document.write( "270 mi+310 mi=580 mi \n" ); document.write( "580 mi=580 mi \n" ); document.write( " |