2008 Fermat Problem 15

In a relay race, Ainslee runs the first lap in 72 seconds. Bridget runs the next lap at \frac{9}{10} of Ainslee's speed. Cecilia runs the next lap at \frac{4}{3} of Bridget's speed. Dana runs the last lap at \frac{6}{5} of Cecilia's speed. What is their total time, to the nearest second?

\textbf{(A)}\ 4 \text{ minutes, } 48 \text{ seconds}\quad \textbf{(B)}\ 4 \text{ minutes, } 22 \text{ seconds}\quad \textbf{(C)}\ 5 \text{ minutes, } 27 \text{ seconds}\quad \textbf{(D)}\ 4 \text{ minutes, } 37 \text{ seconds}\quad \textbf{(E)}\ 3 \text{ minutes, } 46 \text{ seconds}

If there are no answer choices shown, enter a numerical answer.

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