, 2008

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

(A) $4$ minutes, $48$ seconds (B) $4$ minutes, $22$ seconds (C) $5$ minutes, $27$ seconds (D) $4$ minutes, $37$ seconds (E) $3$ minutes, $46$ seconds