Transcription
Charles and Tammy live the same distance from work. They started walking to work at the same time. They both walked at constant speeds, though not necessarily at the same speed. Charles' distance from work is shown in the following table:
So, 50 seconds: he is 830 meters from work. Then another 50 seconds goes by; now he is 760 meters from work. Another 50 seconds goes by; he is 690 meters from work. Which makes sense; he's getting closer and closer to work as seconds pass by; he's walking to work.
Which of these sentences could possibly be true? Select all that apply. So what are these sentences talking about? So it looks like they're all talking about Tammy. Tammy started 830 meters from work and walked towards work at 2 meters per second. She started 900 meters from work and walked towards work at 75 meters per second. So all of these seem to be statements about where did Tammy start and how quickly did she walk.
Could one thing we is the distance from work? So the distance that Charles started walking from work; that's the same distance that Tammy started walking from work. Let's figure out what that distance is. We see that every 50 seconds go by. 50 to 100 seconds. So if we have 830, 760: distance from work decreased by 70, decreased by 70 meters. Let that keeps holding up; it's because they're moving at constant speeds. Another 50 seconds goes by and his distance from work decreases. What would happen? 50s, 830. He would have been 900 meters from work. We see consistency when 50 seconds pass by. When 50 seconds pass by. When you go from zero seconds to 50 seconds, he goes from 900 meters away to 830 meters away. So once again, his distance from work decreases by 70. Then another 50 seconds goes by; decreases by 70. Another 50 seconds, zero. Charles was 900 meters away from work.
Now we know Tammy and Charles live the same distance away from work, so Tammy would have also started 900 meters away from work. Now they tell us that they don't necessarily walk at the same speed, so we don't know what Tammy's speed is. This, this hasn't in any way constrained Tammy's speed. So we know that she started 900 meters away. So we know that this can't be the case; that says 830. We know that this can't be the case. We know that this can't be the case because they all talk about starting at a distance other than 900 meters. And over here, both of these, they say she started at 900 meters from work and walked towards work at 75 meters per second. Well, that's possible; it's not necessarily true. They just haven't given us information on her speed, but given the information so far, this is definitely a possibility. Likewise, Tammy started 900 meters from work. We know that is true, and walks towards work at 57 meters per second. Once again, that's a possibility that hasn't been ruled out by the information in this information right over here. So these are both, these two are both possibly true.