Two strings (A, B) having linear densities mu_A = 2 times 10^-4text kg/m$\mu_{A} = 2 \times 10^{-4}\text{ kg/m}$ and mu_B = 4 times 10^-4text kg/m$\mu_{B} = 4 \times 10^{-4}\text{ kg/m}$ and lengths L_A = 2.5text m$L_{A} = 2.5\text{ m}$ and L_B = 1.5text m$L_{B} = 1.5\text{ m}$ respectively are joined. Free ends of A and B are tied to two rigid supports C and D, respectively creating a tension of 500 N in the wire. Two identical pulses, sent from C and D ends, take time t_1$t_{1}$ and t_2$t_{2}$ , respectively, to reach the joint. The ratio t_1/t_2$t_{1}/t_{2}$ is :