A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find the distance between the two stations. Options
A) 210	B) 200	C) 220	D) 230	E) 240
Let x be the scheduled time for the trip from A to B. Then the distance between A and B can be found in two ways. On one hand, this distance equals 75(x−4860) km. On the other hand, it is 50x+40 km. So we get the equation:   75(x−4860)=50x+40   x=4 hr is the scheduled travel time. The distance between the two stations is 50⋅4+40=240 km.   Answer is 240.
<result>E</result>
A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find the distance between the two stations.