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Sofia's speed

Source: 2017 AMC 10B #2

February 16, 2017
AMC 10AMC2017 AMC 10Brates

Problem Statement

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?
<spanclass=′latex−bold′>(A)</span>5 minutes and 35 seconds<span class='latex-bold'>(A) </span> \text{5 minutes and 35 seconds} <spanclass=′latex−bold′>(B)</span>6 minutes and 40 seconds<span class='latex-bold'>(B) </span> \text{6 minutes and 40 seconds} <spanclass=′latex−bold′>(C)</span>7 minutes and 5 seconds<span class='latex-bold'>(C) </span> \text{7 minutes and 5 seconds} <spanclass=′latex−bold′>(D)</span>7 minutes and 25 seconds<span class='latex-bold'>(D) </span> \text{7 minutes and 25 seconds} <spanclass=′latex−bold′>(E)</span>8 minutes and 10 seconds<span class='latex-bold'>(E) </span> \text{8 minutes and 10 seconds}
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