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Two cars A and B are at $100\,\text{m}$ and $200\,\text{m}$ distance from the origin $O$ at time $t = 0$.

They start simultaneously with velocities $10\,\text{m/s}$ and $5\,\text{m/s}$ respectively. A will overtake B at a distance of $x$ from $O$.

The answer given: $300\,\text{m}$.

What I have tried so far: I tried to calculate the relative velocity of car A and then to find out the time and the distance but I got stuck. And each time I try, I go with a different approach, so, really, I haven't a clue even on how to proceed to solve this problem.

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closed as off-topic by John Rennie, Ali, Brandon Enright, ACuriousMind, BMS Sep 3 '14 at 15:23

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Homework-like questions should ask about a specific physics concept and show some effort to work through the problem. We want our questions to be useful to the broader community, and to future users. See our meta site for more guidance on how to edit your question to make it better" – John Rennie, Ali, Brandon Enright, ACuriousMind, BMS
If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ "And each time I try, I go with a different approach" - That's an interesting observation. Have you tried to calm down and observe yourself why your reasoning is so chaotic? Some other people learn the art of self-control so every time they try, they may repeatedly use the same correct approach that they previously identified to be correct. $\endgroup$ – Luboš Motl Sep 3 '14 at 13:02
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Probably there are many ways to approach the problem, The simplest, the first that comes to my mind is : find the time it takes.

Think of the time it takes A to cover/catch up the difference in space using the difference of speed.

P.S I hope this hint is not against the rule, if it is, just tell me and I delete my answer.

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