A planetary gear train has four gears and one carrier. Angular velocities of the gears are $\infty_1$,$\infty_2$,$\infty_3$ and$\infty_4$ respectively. The carrier rotates with angular velocity $\infty_5$.

For $\infty_1$= 60 rpm clockwise (cw) when looked from the left, what is the angular velocity of the carrier and its direction so that Gear 4 rotates in counterclockwise (ccw) direction at twice the angular velocity of Gear 1 when looked from the left?