Hard to say, since you don't describe the relationship between a and the other variables. No diagrams are shown here.
But, given that you have 5 and 12, I'd suspect that z is the hypotenuse of a 5-12-13 right triangle, so that
z^2 = x^2 + y^2
z dz/dt = x dx/dt + y dy/dt
13 * 1 = 12 dx/dt + 5* 1/3 dx/dt
13 = (12 + 5/3) dx/dt
13 * 5/41 = dx/dt
The sides of the triangle show increase in such a way that
dz/dt = 1 and dx/dt = 3 * dy/dt.
At the instant when x = 12 and y = 5, what is the value of dx/dt?
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