2017 AMC 10B Problem 2

Sofia ran 5 laps around the 400-meter track at her school. For each lap, she ran the first 100 meters at an average speed of 4 meters per second and the remaining 300 meters at an average speed of 5 meters per second. How much time did Sofia take running the 5 laps?

\textbf{(A)}\ \text{5 minutes and 35 seconds}\qquad\textbf{(B)}\ \text{6 minutes and 40 seconds}\qquad\textbf{(C)}\ \text{7 minutes and 5 seconds}\qquad \textbf{(D)}\ \text{7 minutes and 25 seconds}\ \qquad\textbf{(E)}\ \text{8 minutes and 10 seconds}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.