Two substances ' \( A \) ' and ' \( B \) ' are initially present as \( \left[A_{0}\right]=8\left...

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Two substances ' \( A \) ' and ' \( B \) ' are initially present as \( \left[A_{0}\right]=8\left[B_{0}\right] \) and \( t_{1 / 2} \) for the first-order decomposition of ' \( A \) ' and ' \( B \) ' are 10 and 20 minutes, respectively. If they start decomposing at the same time, after how much time, the concentration of both of them would be same?
(a) \( 20 \mathrm{~min} \)
(b) \( 40 \mathrm{~min} \)
(c) \( 60 \mathrm{~min} \)
(d) \( 200 \mathrm{~min} \)
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