Trains A and B start simultaneously from stations 350 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 40 miles per hour and 30 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile? Choose the correct choice from the following answers: A) 112 B) 133 C) 150 D) 167 E) 200

Rationale: since we know the distance ( 350 ) and the combined rate ( 70 ) , we plug it into the formula : distance = rate * time 350 = 70 * time we can solve for the time they will meet cause we added the rate of train a and train b together . so the time will be 350 / 70 from dividing 70 on both sides to isolate time in the equation above . time will be 5 hours so now you can plug that in for train a ’ s distance . distance = rate * time distance = 40 * 5 distance = 200 according to answer choice e .
Answer: E