JNU SIS 2021 Question 23: Harrod–Domar and Solow growth models

Consider two countries, A and B. In both the countries, the production function is given by a Cobb-Douglas technology: $Y = AK^{\frac{1}{3}}L^{\frac{2}{3}}$, where $K$ and $L$ are physical capital and labour. Further, in both countries, the growth rate of labor force is 0.1 per period, physical capital depreciates at the rate 0.1 per period, and $A = 1$. The saving rates differ between countries: $s_A = 0.2$ in country A and $s_B = 0.4$ in country B. Then, the steady state level of capital-labor ratio ($K/L$) in the two countries will be: