SOLUTION: For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 385 miles in 7 hours, how long does it take to t

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Question 1113370: For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels
385 miles in 7
hours, how long does it take to travel
440 miles?



Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
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the distance traveled varies directly with the time spent driving.
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d, distance traveled
t, time of travel
r, variation constant





-

-------------------------------------------
If such a car travels
385 miles in 7
hours, ...
------------------------------------------




------------------------------------
... how long does it take to travel
440 miles?
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substitute the given values and evaluate t.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
What the problem says and asks, can be presented as a proportion


 = .      (1)


From the proportion,  x =  = 8.


Answer.  8 hours.

Solved.

Notice that each side of the proportion (1) represents the speed of the car, which is assumed to be constant.

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There is a bunch of lessons on  proportions  in this site:
    - Proportions
    - Using proportions to solve word problems
    - Using proportions to solve word problems in Physics
    - Using proportions to solve Chemistry problems
    - Using proportions to estimate the number of fish in a lake
    - HOW TO algebreze and solve this problem using proportions
    - OVERVIEW of lessons on proportions

These lessons were written specially for you.

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