During a race, Bernie ran 9meters every 4 seconds, while Wendel ran 2 meters every second and got a 9-meter head start. If the race was 70 meters long, did Bernie ever catch up with Wendel? If so, when? Justify your answer.

Question

Mathematics

Jeffery Marsh

4 December, 08:33

During a race, Bernie ran 9meters every 4 seconds, while Wendel ran 2 meters every second and got a 9-meter head start. If the race was 70 meters long, did Bernie ever catch up with Wendel? If so, when? Justify your answer.

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Answers (1)

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Jaslene Zhang · Answer 1

Step-by-step explanation:

No, because Bernie had to run 9 meters 7.77777778 time (70/9) and each of those 9-meter sections took 4 seconds, so her time was 31.1111111 (7.77777778*4). While Wendel had to run 61 meters 70-his headstart (9 meters) (70-9). So he only had to run 30.5 blocks of 2 meters (61/2). And since they're only 1 second long, it's 30.5*1=30.5.

So the answer is a NO because (Bernie) 31.1111111 seconds > 30.5 seconds (Wendel).