Rearrange the equation for velocity to solve for time, t.

V=D/V

The answer is T=D/V.

I have to show my work. Is it really as simple as swapping the t and v just like that, or is it something more complicated?

-------------------------------------------------------------------------------------------------------------------------------------------------------

Rearrange the equation for area of a rectangle (A=L*W) to solve for length. THe answer is L=A/W, but again, how do I get there?

please do.

OOps the original for the first question was V=D/T not V=D/V

It may not be quit that simple but it is easy. Here is an example of how you do it. Suppose we have A = L*W and we want L. We can do essentially anything to an equation as long as we do it to both sides the same way. So in this case we want to move W to the left SO we just divide both sides by W this way.

A = L*W. Divide both sides by W this way.
A/W = L*W/W and
A/W = L.
In the case of V = D/T and we want to solve for T, we do this
V = D/T. Multiply by T to get this
T*V = T*D/T which leaves T*V = D. Then we divide both sides by V this way. T*V/V = D/V and T = D/V
After I did this many times I found I can move any letter from the numeratore of one side to the denominator of the other side OR from the denominator of one side to the numerator of the other side. And you can usually do that mentally, especially for small equations.
BTW for that typo of V = D/V then V*V = D or V^2 = D
Hope this helps.