I need help with some questions.

Question

Jamie and Andrea both leave the park at the same time, but in opposite directions. If Andrea travels 5 mph faster than Jamie and after 8 hours they are 248 miles apart, how fast is each traveling?

Answer 1

Another D = rt question. So, in addition to writing down all your variables, I suggest you draw a diagram showing the two women leaving the park in opposite direction. At 8 hours, they will be at 248 miles apart.

So, another strategy to solve these types of questions is to create a chart with three rows and three columns. You should have 9 boxes. In the first row, put r (for rates) in the left corner box, t (time)in the middlebox, and d (distance) in the right corner box. Now, let's try to fill those boxes with what we know. By doing that, you should see that d(Andrea) = Ar(t) and d(Jaime) = Jr(t). So, the distances Jaime and Andrea travel add up since they are moving apart, so Dtotal = d(Andrea) + d(Jaime). Now, let's substitute each individual distance number and you get Dtotal = Ar(t) + Jr(t). You know Ar = Jr +5 and t = 8, so can you substitute these values in and solve for Jr? Once you have Jr you can plug that back into Ar to get Andrea's rate. If need additional help, feel free to follow up.