Need Help understanding explanation.

Problem: https://brilliant.org/practice/stunt-driving-and-collisions/?p=4

I do not understand how they were able to arrive to the solution. The explanation is confusing me. Is anyone able to help me understand this? Thank you.

#Algebra

Note by Dacota Sprague
1 year, 12 months ago

No vote yet
1 vote

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Comments

OK. The faster train has the velocity of v1=100 v_{1} = 100 and slower one v2=50 v_{2} = -50 (mind the direction!) Now, this is the system of equations you need {v1t=d1v2t=d2d1+d2=D \begin{cases} v_{1}t = d_{1} \\ v_{2}t = d_{2} \\ d_{1} + \left| d_{2} \right| = D \end{cases}

I hope this helps.

Tomasz Bukowy - 1 year, 12 months ago

So I have to ask. How does this result in x106? Also, thank you. This is starting to make a little more sense.

Dacota Sprague - 1 year, 12 months ago

Honestly, I have no clue where they got this weird notation from. Idk what x106 or x108 means there either, but D6 \frac{D}{6} is the correct answer for certain.

Tomasz Bukowy - 1 year, 12 months ago

That might have been what they were going for, but they may have made a mistake in the formatting. Thank you for the help!

Dacota Sprague - 1 year, 12 months ago

Yeah. Np.

Tomasz Bukowy - 1 year, 12 months ago
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