Rearrange formulas to isolate a chosen quantity and interpret the result.
Rearrange a quotient formula to solve for the denominator variable and state restrictions
Problem
Rearrange \(r~=~d/t\) to solve for \(t\), and state the restrictions on the original and solved forms.
Big Picture
What this problem is really about
The target begins in a denominator, so we’ll clear that fraction before trying to isolate it. Multiplying by the original denominator turns the relationship into a product; then dividing by the remaining factor leaves the target alone. We must track both stages carefully, because each denominator creates its own nonzero condition.
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