SOLUTION: If 2 cars are moving towards each other from 6.6 miles away and car A meets car B in one hour and if the cars move in the same direction and car B overtakes car A within 11 hours t

Question 413508: If 2 cars are moving towards each other from 6.6 miles away and car A meets car B in one hour and if the cars move in the same direction and car B overtakes car A within 11 hours then how fast is each car going?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = car A's speed
Let = car B's speed
Moving towards each other, just add the speeds

-------------------
In the same direction:
car A:
(1)
car B:

(2)
B overtakes A, so it is the one that has to make up
the 6.6 mi between them
Since is the same in both equations,

and, from above,

By substitution:

A's speed is 3 mi/hr
B's speed is 3.6 mi/hr
check answer:
going towards each other:

OK
same direction:
car A:
(1)

car B:

OK

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