Although not specified but I assume that
t = time , v = velocity and x = position
For an equation to be dimensionally correct the dimension on the right hand side and left hand side of eqauation must be equal.
Unit of t is second , thus dimension of t will be [T]
Unit of v is meter/second , thus dimension of v will be [LT-1]
Unit of x is meter , thus dimension of of x will be [L]
According to eqauation
t = v/x
[T] = [LT-1] / [L]
[T] = [T-1]
HERE LHS IS NOT EQUAL TO RHS , THUS EQUATION IS NOT DIMENSIONALLY CONSISTENT.
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