SOLUTION: Two trains horizontal one eastbound, one westbound, leave a city at the same time. The speed of the westbound train is 20 miles per hour greater than the speed of the eastbound tra

Algebra.Com
Question 169766: Two trains horizontal one eastbound, one westbound, leave a city at the same time. The speed of the westbound train is 20 miles per hour greater than the speed of the eastbound train. After 7 hours, the distance between the westbound train and the eastbound train is 770 miles. Find the speed of the two trains.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
If the speed of the faster train is then the speed of the slower train must be . Since the trains are going in opposite directions, the speed that they are moving relative to each other is the sum of their speeds, or .

Since distance equals rate times time, or and the distance is given as 770 miles and the time as 7 hours, we can say:











So the westbound (faster) train was going 65 mph, and the eastbound (slower) train was going 20 mph less than that or 45 mph.

Check: The sum of the speeds is 65 + 45 = 110. 7 hours at 110 mph is 770 miles. Answer checks.
RELATED QUESTIONS

Three trains one eastbound, one westbound, and one northbound leave a city at the same... (answered by ankor@dixie-net.com)
Two trains leave the station at the same time, one heading west and the other east. The... (answered by mananth)
Two trains leave the station at the same time, one heading west and the other east. The... (answered by lwsshak3)
Two trains leave the station at the same time, one heading west and the other east. The... (answered by stanbon)
Two trains left the same city at the same time, traveling in opposite directions. The... (answered by funmath,hotrodd)
Two trains leave Kansas City at the same time. One train travels east and the other one... (answered by 303795)
Two trains leave Cleveland at the same time. One train travels east and the other travels (answered by JulietG)
Two trains leave Dallas at the same time. One train travels east and the other travels... (answered by josmiceli)
Two trains leave the station at the same time, one heading east and the other west. The... (answered by checkley79,josgarithmetic)