Question

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.

Answer 1

Bernie did catch up with Wendel during the race, 3.89 seconds after it started.

Step-by-step explanation:

In order to determine if Bernie ever caught up with Wendel, we need to compare their speeds and distances. Let's start by finding out the time it takes for Bernie to cover 70 meters.

Since Bernie runs 9 meters every 4 seconds, we can calculate his speed as 9 meters / 4 seconds = 2.25 meters per second.

Now, let's find out how long it takes for Bernie to cover 70 meters: 70 meters / 2.25 meters per second = 31.11 seconds.

Since we know that Wendel ran 2 meters every second, he covers 70 meters in 70 meters / 2 meters per second = 35 seconds. So, Bernie did catch up with Wendel as he took less time to cover the distance.

We can determine when Bernie caught up with Wendel by finding the time difference: 35 seconds - 31.11 seconds = 3.89 seconds.

Therefore, Bernie caught up with Wendel 3.89 seconds after the race started.

Answer 2

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).