A person travelling on a straight line moves with a uniform velocity v_1 for a distance x and with a uniform velocity v_2 for the next 3/2 x…

A person travelling on a straight line moves with a uniform velocity $\displaystyle v_1$ for a distance $\displaystyle x$ and with a uniform velocity $\displaystyle v_2$ for the next $\displaystyle \frac{3}{2} x$ distance. The average velocity in this motion is $\displaystyle \frac{50}{7} \mathrm{~m} / \mathrm{s}$. If $\displaystyle v_1$ is $\displaystyle 5 \mathrm{~m} / \mathrm{s}$ then $\displaystyle v_2=$ $\displaystyle \_\_\_\_$ m/s.