**Stuff and Stuff Responds**

A reader from somewhere writes:

Oooooo a question for your project!

‹thinks›

If you were stranded on a desert island and could stock your reed hut with only eight items (excepting food and survival items), what would they be? No electricity, remember!

Sincerely,

Jill

Stuff and Stuff muses:

Well Jimmy, to answer this question, we must first, set up your variables:

We’ll call the velocity of trains A & B, Ra and Rb, respectively. So: **Ra=100mph and Rb=60mph**

And the distance that train A (Da) travels is the total distance (L) minus the distance of train B (x). So: **Da=L-x**

We also know that the distance between LA and Chicago is **2018 miles**

Now, at the point where the trains cross, their times are equal, meaning that we can take the basic formula: D(istance)=R(ate)*T(ime) and set the times of the two trains equal to each other. In other words:

T=Da/Ra=Db/Rb Using our variables, this becomes: **L-x/100=x/60**, and solving for x yields **756.75 miles**

But this doesn’t entirely answer your question. You wanted to know *when* the trains cross. Well, using our formula, D=RT, again: 756.75miles=60mph*T, and solving for T yields **12.6125 hours**

Knowing that train B left LA at 12:00 PM, we add 12.6125 hours, which means that Train A from Chicago crosses paths with Train B from LA at approximately **12:37 A.M.**, which puts you somewhere in Colorado!

Thanks Billy…and to everyone else, keep sending in your questions!