Answer:
q = [tex]\frac{p}{tp-1}[/tex]
Step-by-step explanation:
Given
t = [tex]\frac{1}{p}[/tex] + [tex]\frac{1}{q}[/tex]
Multiply through by pq to clear the fractions
tpq = q + p ( subtract q from both sides )
tpq - q = p ← factor out q from each term on the left side
q(tp - 1) = p ← divide both sides by (tp - 1)
q = [tex]\frac{p}{tp-1}[/tex]