SOLUTION: 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

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?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
r=rate of Train B; r+15mph=rate of Train A
195mi/r+15=150mi/r Multiply by(r)(r+15mph)
195mi(r)=150mi(r+15mph)
195r mi=150r mi+150(15) mi^2/hr Subtract 150r mi from each side
45r mi=2250 mi^2/hr Divide each side by 45 mi
r=50 mi/hr ANSWER 1: Train B's rate was 50 miles per hour.
R+15mph=50mph+15mph=65 mph ANSWER 2: Train A's rate was 65 miles per hour.
CHECK:
195mi/65mph=150mi/50mph
3hrs=3hrs

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