An open drainage canal is to be constructed to carry water at a maximum rate of $10^{6}

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An open drainage canal is to be constructed to carry water at a maximum rate of $10^{6} \mathrm{gpm}$. The canal is concrete lined and has a rectangular cross section, with a width that is twice its depth. The elevation of the canal drops $3 \mathrm{ft}$ per mile of length. What should the width and depth of the canal be?

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