Two trains, A and B, started simultaneously from opposite ends of a 75-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 75-mile trip in 3 hours; Train B, traveling at a constant rate, completed the 75-mile trip in 2 hours. How many miles had train A traveled when it met train B? Choose one
A) 20
B) 22.5
C) 30
D) 37.5
E) 45
As the ratio of the rates of A and B is 2 to 3 then the distance covered at the time of the meeting (so after traveling the same time interval) would also be in that ratio, which means that X would cover 2/(2+3)=2/5 of 75 miles:   75*2/5= 
<gadget id="calculator">  75*2/5</gadget>
<output>30</output>
30 miles.   Answer: 30.
<result>C</result>
Two trains, A and B, started simultaneously from opposite ends of a 75-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 75-mile trip in 3 hours; Train B, traveling at a constant rate, completed the 75-mile trip in 2 hours. How many miles had train A traveled when it met train B?