Question

Two trains leave the station going in the opposite direction at x miles from the station, each train makes a right turn and travels Y miles to the destination. How far are the destinations from each other?

Option 1: X + Y miles
Option 2: 2Y miles
Option 3: 2X miles
Option 4: X + 2Y miles

Answer 1

The total distance between the two train destinations, after traveling x miles in opposite directions and making a right turn to travel y more miles, is x + 2y miles.

Step-by-step explanation:

The question involves determining the distance between two destinations when two trains leave a station, travel x miles in opposite directions, make a right turn, and then each travels an additional y miles to their respective destinations. Since the trains start at the same point and go in opposite directions, they are x miles apart after the initial leg. After they each turn and travel y miles, these two new paths are parallel to each other and still x miles apart. Therefore, the answer is the initial distance of separation (x miles) plus twice the distance each train travels after the turn (2y), giving us a total of x + 2y miles.