# SOLUTION: The average speed of a train is 20 miles per hour faster than that of a car.In 8 hours and 40 minutes , the train covers the same distance that the car covers in 13 hours . Find th

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 Question 88790: The average speed of a train is 20 miles per hour faster than that of a car.In 8 hours and 40 minutes , the train covers the same distance that the car covers in 13 hours . Find the average speed of each .Answer by ankor@dixie-net.com(15651)   (Show Source): You can put this solution on YOUR website!The average speed of a train is 20 miles per hour faster than that of a car.In 8 hours and 40 minutes , the train covers the same distance that the car covers in 13 hours . Find the average speed of each . : Let s = speed of the car Then (s+20) = speed of the train : Change 8 hr 40 min to hrs: 8 + 40/60 = 8 & 2/3 hrs or 26/3 hrs : Distance = time * speed : car dist = train dist 13s = : Mult equation by 3, get rid of the denominator: 3(13s) = 26(s+20) : 39s = 26s + 520 : 39s - 13s = 520 ; 13s = 520 : s = 520/13 : s = 40 mph is the speed of the car : 60 mph is the speed of the train : : Check: 13*40 = 520 8&2/3 * 60 = 520 mi also