MathDB

A straight line connects City A at

(0, 0)

to City B, 300 meters away at

(300, 0)

. At time

t=0

, a bullet train instantaneously sets out from City A to City B while another bullet train simultaneously leaves from City B to City A going on the same train track. Both trains are traveling at a constant speed of

50

meters/second.
Also, at

t=0

, a super y stationed at

(150, 0)

and restricted to move only on the train tracks travels towards City B. The y always travels at 60 meters/second, and any time it hits a train, it instantaneously reverses its direction and travels at the same speed. At the moment the trains collide, what is the total distance that the y will have traveled? Assume each train is a point and that the trains travel at their same respective velocities before and after collisions with the y

Problem Statement