Playing with Elevators

In the three-story high cuboid building, starting at the ground level, each of the twin brothers of the same masses Brilli and Trilli entered the different empty elevators. The scenario is as follows:

• Starting and finishing at $0\,\text{m/s}$ , each elevator accelerates and decelerates both at the same constant rate between the initial and the chosen floors. After it accelerates to the maximum velocity exactly in the middle of a trip, it starts to decelerate.
• Adjacent floors are evenly separated.
• Both elevators initially rise at the same time.
• In Elevator 1 of acceleration $a_1$ , Brilli went one floor above and then, the highest.
• In Elevator 2 of acceleration $a_2$ , Trilli went two floors above and then, one floor below.
• After two elevator trips, both Brilli and Trilli stopped at the different floors, but at the same time.

Round $\left|\dfrac{a_2}{a_1}\right|$ to 3 decimal places as your answer.

Details and assumptions

• All floors and elevators are treated as points.
• Assume Brilli and Trilli are the only people in the building.
• Neglect slippage and elevator issues that interfere the trips.