Is d/t=r an equivalent equation to d=rt

  Yes;   " d/t = r " ; 

is, in fact, an equivalent equation to:  "d = r t" .

Explanation:

  Consider the equation:  "d = rt" (which is, " d = r*t ").

We are asked if:  " d/t = r " an "equivalent equation" [ to: " d = rt "] .

Note that:  "d/t = r " is the same as:  ↔  "r = d/t ".

So, given:  "d = rt" ; let us rewrite the equation, by isolating:  "r" on one side of the equation:

 → d = r t ;  divide EACH SIDE of the equation by "t" ; to isolate "r" on one side of the equation:

 →  d/t = (r*t) / t ;  to get:

   → d/t = r ;  so yes;  "d/t = r"  and:  "d = rt" are equivalent equations.

Note:  In practice, these variables are often used in the formula:

"d = rt" ; or, "distance = rate * time" .