def identify_max_speed_velocity_ratio(velocities, engine_speeds_out,
    idle_engine_speed, stop_velocity):
    """
    Identifies the maximum speed velocity ratio of the gear box [h*RPM/km].

    :param velocities:
        Vehicle velocity [km/h].
    :type velocities: numpy.array

    :param engine_speeds_out:
        Engine speed [RPM].
    :type engine_speeds_out: numpy.array

    :param idle_engine_speed:
        Engine speed idle median and std [RPM].
    :type idle_engine_speed: (float, float)

    :param stop_velocity:
        Maximum velocity to consider the vehicle stopped [km/h].
    :type stop_velocity: float

    :return:
        Maximum speed velocity ratio of the gear box [h*RPM/km].
    :rtype: float
    """
    b = velocities > stop_velocity
    b &= engine_speeds_out > idle_engine_speed[0]
    return max(engine_speeds_out[b] / velocities[b])
