document.write( "Question 958184: Train A has a speed of 15 miles per hour greater than that of train B. If train A travels 195 miles in the same amount of time that train B travels 150 miles, what are the speeds of those two trains? \n" ); document.write( "
Algebra.Com's Answer #585573 by macston(5194)![]() ![]() You can put this solution on YOUR website! r=rate of Train B; r+15mph=rate of Train A \n" ); document.write( "195mi/r+15=150mi/r Multiply by(r)(r+15mph) \n" ); document.write( "195mi(r)=150mi(r+15mph) \n" ); document.write( "195r mi=150r mi+150(15) mi^2/hr Subtract 150r mi from each side \n" ); document.write( "45r mi=2250 mi^2/hr Divide each side by 45 mi \n" ); document.write( "r=50 mi/hr ANSWER 1: Train B's rate was 50 miles per hour. \n" ); document.write( "R+15mph=50mph+15mph=65 mph ANSWER 2: Train A's rate was 65 miles per hour. \n" ); document.write( "CHECK: \n" ); document.write( "195mi/65mph=150mi/50mph \n" ); document.write( "3hrs=3hrs \n" ); document.write( " \n" ); document.write( " |