Two trains, A and B, started simultaneously from opposite ends of a 200-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 200-mile trip in 10 hours; Train B, traveling at a constant rate, completed the 200-mile trip in 6 hours. How many miles had train A traveled when it met train B? Choose the correct choice from the following answers.
A) 70	B) 75	C) 87.5	D) 90	E) 92.5
As the ratio of the rates of A and B is 6 to 10 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 A would cover 6/(6+10)=6/16 of 200 miles:   200*6/16= 
<gadget id="calculator">  200*6/16</gadget>
<output>75</output>
75 miles.   Answer: 75.
<result>B</result>
Two trains, A and B, started simultaneously from opposite ends of a 200-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 200-mile trip in 10 hours; Train B, traveling at a constant rate, completed the 200-mile trip in 6 hours. How many miles had train A traveled when it met train B?