Question 388682
Using {{{d=rt}}}, the first car has traveled {{{70x}}} miles (where 'x' is the time spent traveling) and the second car has traveled {{{65x}}} miles.



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



So {{{70x+65x=270}}}



{{{70x+65x=270}}} Start with the given equation.



{{{135x=270}}} Combine like terms on the left side.



{{{x=(270)/(135)}}} Divide both sides by {{{135}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


So the solution is {{{x=2}}} 



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



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Jim