Leaky current

The simplest RC circuit consists of a single resistor and capacitor connected around a loop. A capacitor initially charged to 100 V100~\mbox{V} is connected in such a circuit and the voltage across the capacitor drops to 10 V10~\mbox{V} in 5 seconds5~\mbox{seconds}. A second identical resistor is then connected in parallel with the first resistor. How long does it take in seconds for the voltage across the capacitor to further drop to 1 V1~\mbox{V}?

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