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sweet [91]
3 years ago
7

A car's fuel economy is 30 mpg. a warning light is displayed if the remaining distance that can be driven before the car runs ou

t of gas drops below 50 miles. initially the car has 10 gallons of gas. how many gallons, g, can be used before the warning light comes on?
Physics
2 answers:
Alchen [17]3 years ago
7 0
So 10 gallons of gas would let you travel 300 Miles. 

x gallons = 50 Miles

10 : 300 :: x : 50 

x = 500/300

x = 1.66667 gallons. 

So, the car would run 10 - 1.6666 gallons = 8.33 gallons.

After that, the warning light turns ON! 

Hope this helps!!
shutvik [7]3 years ago
6 0

Answer:

8.33 gallons

Explanation:

Given: A car's fuel economy is 30 mpg. a warning light is displayed if the remaining distance that can be driven before the car runs out of gas drops below 50 miles.

To Find: initially the car has 10 gallons of gas. how many gallons, g, can be used before the warning light comes on.

Solution:

Total fuel in car=10\text{g}

fuel economy of car =30\text{mpg}

fuel required to ride 30 mile =1\text{g}

fuel required to ride 1 mile =\frac{1}{30}\text{g}

Now,

Fuel required to ride 50 miles =50\times\frac{1}{30}\text{g}=\frac{5}{3}\text{g}

fuel left in car when warning light is displayed =\text{Fuel required to ride 50 miles left}

                                                                        =\frac{5}{3}\text{g}

Amount of fuel that can be consumed before warning light dislays

\text{Total fuel}-\text{fuel left when warning light displays}

            10-\frac{5}{3}

            \frac{25}{3}\text{g}        

            8.33\text{g}

8.33 gallons fuel can be used before warning light comes on

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