SOLUTION: a car and a train leave station A at the same time for station B, 220 miles away. if the speed of the car averages twice the speed of the train and the car arrives 5.5 hours before

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 Question 621342: a car and a train leave station A at the same time for station B, 220 miles away. if the speed of the car averages twice the speed of the train and the car arrives 5.5 hours before the train, find the speed of the car and the speed of the train.Found 2 solutions by josmiceli, ankor@dixie-net.com:Answer by josmiceli(9697)   (Show Source): You can put this solution on YOUR website!Let = the speed of the car Let = the speed of the train Let = the time it takes for the train to get to station B. -------------------- Equation for the train: (1) Equation for the car: (2) (3) ------------- Substitute (3) into (2) (2) and, from (1), (1) Substitute this into (2) (2) (2) (2) (2) and, since (3) (3) The speed of the car is 40 mi/hr The speed of the train is 20 mi/hr check: (1) (1) and (2) (2) (2) (2) (2) OK Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!a car and a train leave station A at the same time for station B, 220 miles away. if the speed of the car averages twice the speed of the train and the car arrives 5.5 hours before the train, find the speed of the car and the speed of the train. : Let s = speed of the train then 2s = speed of the car : Write a time equation, time = dist/speed : Train time - car time = 5.5 hrs - = 5.5 Reduce the 2nd fraction - = 5.5 Subtract like terms = 5.5 110 = 5.5s s = s = 20 mph is the speed of the train You can find the speed of the car, check solutions by finding the time of each