A particle PPP of mass mmm collides with a stationary particle QQQ of mass 3m3m3m.
Immediately after the collision, the particle PPP is moving with velocity uPu_PuP at an angle of 30∘30^\circ30∘ to its original direction, and the particle QQQ is moving with velocity uQu_QuQ at 90∘90^\circ90∘ to the velocity of particle PPP.

What is the value of the ratio uPuQ\frac{u_P}{u_Q}uQuP? Round your answer to one decimal place.