Runners (mathrm{A}, mathrm{B}), and (mathrm{C}) run a (100-mathrm{m}) race, each at a constant speed. Runner A takes
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Runners \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\) run a \(100-\mathrm{m}\) race, each at a constant speed. Runner A takes first place, beating runner B by \(10 \mathrm{~m}\). Runner \(B\) takes second place, beating runner \(C\) by \(10 \mathrm{~m}\). By what time interval does runner \(A\) beat runner \(C\) ? (Express your answer in terms of runner A's total time.)
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