Answer
$\approx 92.1 s$
Work Step by Step
As we are given that when the voltage is 10% of its original value this means that we have $V =0.1 V_0$
Thus, $V(t)=V_0e^{-t/40}$
$(0.1) V_0=V_0e^{-t/40}$
Also, $t=-40 [\ln (0.1)] \implies t \approx 92.1 s$
Thus, $t \approx 92.1 s$