Answer
$t=\frac{11}{6J}$, $J\neq 0$
Work Step by Step
We solve the equation for $t$:
$J=\displaystyle \frac{1}{t}+\frac{1}{2t}+\frac{1}{3t}$
We multiply both sides by $t$:
$tJ=1+\frac{1}{2}+\frac{1}{3}=\frac{11}{6}$
And solve for $t$:
$t=\frac{11}{6J}$
We keep in mind that J can not equal 0. $J\neq 0$
