document.write( "Question 945148: Two trains are 440 miles apart, and their speeds differ by 16 mph. Find the speed of each train if they are traveling toward each other and will meet in 4 hours. \n" ); document.write( "
Algebra.Com's Answer #576315 by macston(5194)![]() ![]() You can put this solution on YOUR website! Let S=the speed of the slower train , S+16mph the speed of the faster train \n" ); document.write( "The combined speed of the trains must be 440 mi/4hrs=110 mph \n" ); document.write( "S+(S+16)=110 mph \n" ); document.write( "2S+16=110mph subtract 16 from each side \n" ); document.write( "2S=94 mph Divide each side by 2 \n" ); document.write( "S=47 mph ANSWER The slower train is traveling 47 mph \n" ); document.write( "S+16=63mph ANSWER the faster train is traveling 63 mph \n" ); document.write( "CHECK \n" ); document.write( "In four hours, the slower train travels (4 hrs)(47 mph)= 188 miles \n" ); document.write( "In four hours, the faster train travels (4 hrs)(63 mph)= 252 miles \n" ); document.write( "188 miles + 252 miles=440 miles, which is the distance that separates them. \n" ); document.write( " |