## A hybrid car has a 15-gallon fuel tank and uses one gallon of fuel to travel 45 miles. If the driver of the car begins

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### A hybrid car has a 15-gallon fuel tank and uses one gallon of fuel to travel 45 miles. If the driver of the car begins

by VJesus12 » Wed Nov 17, 2021 1:01 pm
A hybrid car has a 15-gallon fuel tank and uses one gallon of fuel to travel 45 miles. If the driver of the car begins her trip with a full tank and drives for 8 hours at a constant rate of 60 miles per hour, what fraction of her fuel tank is full at the end of the trip?

A. $$\dfrac29$$

B. $$\dfrac{11}{48}$$

C. $$\dfrac{13}{45}$$

D. $$\dfrac13$$

E. $$\dfrac{17}{48}$$

Source: Veritas Prep

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### Re: A hybrid car has a 15-gallon fuel tank and uses one gallon of fuel to travel 45 miles. If the driver of the car begi

by swerve » Thu Nov 18, 2021 3:37 am
VJesus12 wrote:
Wed Nov 17, 2021 1:01 pm
A hybrid car has a 15-gallon fuel tank and uses one gallon of fuel to travel 45 miles. If the driver of the car begins her trip with a full tank and drives for 8 hours at a constant rate of 60 miles per hour, what fraction of her fuel tank is full at the end of the trip?

A. $$\dfrac29$$

B. $$\dfrac{11}{48}$$

C. $$\dfrac{13}{45}$$

D. $$\dfrac13$$

E. $$\dfrac{17}{48}$$

Fuel tank capacity $$= 15$$ G
Car burns $$1$$ G for each $$45$$ miles driven
After driving for $$8$$ hours at $$60$$ miles/hour $$\Longrightarrow$$ Distance driven $$= 8*60 = 480$$ miles
Gas burnt to drive $$480$$ miles $$= \dfrac{480}{45}$$ G
Gas left in the tank $$= 15 - \dfrac{480}{45} = 15 - \dfrac{32}{3} = \dfrac{13}{3}$$ G
Fraction of gas left to total capacity $$= \dfrac{\,\dfrac{13}{3}\,}{15} = \dfrac{13}{45}$$