SOLUTION: One car's headed south at 70mph. The other is headed north at 65mph. They leave from the exact same place. How long will it take the cars to get 270 miles apart?

Question 388682: One car's headed south at 70mph. The other is headed north at 65mph. They leave from the exact same place. How long will it take the cars to get 270 miles apart?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Using , the first car has traveled miles (where 'x' is the time spent traveling) and the second car has traveled miles.

Since we want the two to be 270 miles apart, this means that their individual distances must add to 270

So

Start with the given equation.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is

So the cars will need to travel for 2 hours to get 270 miles apart.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

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