JEE Main 2022 · 30 Jul · Shift 2, Physics question 29

A body moving horizontally on a smooth surface with a speed of 20 m s$^{-1}$ splits into two parts and continue to move in the same direction. The masses of two parts are in the ratio of 1:2. The smaller part moves with a speed of 30 m s$^{-1}$. The fractional change is the kinetic energy is given by $\dfrac1x$. The value of $x$ is _______