SOLUTION: two cars left the same point at the same time and travel in opposite directions. The faster car travels 12 miles per hour faster than the other. If after 6 hours the cars are 648 k

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Question 1098039: two cars left the same point at the same time and travel in opposite directions. The faster car travels 12 miles per hour faster than the other. If after 6 hours the cars are 648 kilometres apart, what is the speed of each car?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the speed (the rate) of the slower car, in miles per hour.

Then the speed of the faster car is (x+12) mph.


The equation is

6x + 6*(x+12) = 648   ====>

6x + 6x + 72 = 648  ====>  12x = 648 - 72 = 576  ====>  x = 576%2F12 = 48.


Answer.  The speed of the slower car was 48 mph.  The speed of the faster car was 48 + 12 = 60 mph.

Solved.


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See the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
in this site.



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%28r%2Br%2B12%29%2A6%2Ap=648
r, speed of slower car
p, a constant however necessary to either convert miles to kilometers; or from kilometers to miles. The car speeds are indicated for MILES per HOUR, but distance at given time was given in unit of KILOMETERS. Decide what you need.