SOLUTION: Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46 mi/h. In how many hours will they be 72 miles apart?

Question 187393This question is from textbook Algebra 1
: Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46 mi/h. In how many hours will they be 72 miles apart? This question is from textbook Algebra 1

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
For the 30 mi/hr car:
(1)
For the 46 mi/hr car:
(2)
given:

------------------

The faster car goes 72 mi further than the slower car
I can rewrite (1) and (2)
(1)
(2)
(2)
Note that since they travel different
distances but in the same amount of time
Since both left sides are , I can set the
right sides equal to eachother

hr
and
hr also
In 4.5 hrs they will be 72 mi apart
Now check the answer:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
OK

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