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# A certain car model averages 25 miles per gallon of gasoline. A certai

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Math Expert
Joined: 02 Sep 2009
Posts: 58434
A certain car model averages 25 miles per gallon of gasoline. A certai  [#permalink]

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26 Mar 2018, 00:28
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Difficulty:

15% (low)

Question Stats:

93% (01:16) correct 7% (00:39) wrong based on 40 sessions

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A certain car model averages 25 miles per gallon of gasoline. A certain truck model averages 12 miles per gallon of gasoline. If each vehicle is driven 1,200 miles, how much more gasoline (in gallons) will the truck use than the car?

(A) 26
(B) 32
(C) 48
(D) 52
(E) 68

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A certain car model averages 25 miles per gallon of gasoline. A certai  [#permalink]

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26 Mar 2018, 01:21
Bunuel wrote:
A certain car model averages 25 miles per gallon of gasoline. A certain truck model averages 12 miles per gallon of gasoline. If each vehicle is driven 1,200 miles, how much more gasoline (in gallons) will the truck use than the car?

(A) 26
(B) 32
(C) 48
(D) 52
(E) 68

Prime-factorizing, we get $$1200 = 12*25*4$$

If the truck model averages 12 miles/gallon of gasoline, it would need $$\frac{12*4*25}{12} = 100$$ gallons of gasoline to drive 1200 miles.
If the car model averages 25 miles/gallon of gasoline, it would need $$\frac{12*4*25}{25} = 48$$ gallons of gasoline to drive 1200 miles.

Therefore, the truck will use 100 - 48 = 52(Option D) more gallons of gasoline than the car.
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A certain car model averages 25 miles per gallon of gasoline. A certai  [#permalink]

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26 Mar 2018, 11:59
1
Bunuel wrote:
A certain car model averages 25 miles per gallon of gasoline. A certain truck model averages 12 miles per gallon of gasoline. If each vehicle is driven 1,200 miles, how much more gasoline (in gallons) will the truck use than the car?

(A) 26
(B) 32
(C) 48
(D) 52
(E) 68

$$\frac{Miles}{mpg}=$$ Total gallons used*

Truck: $$\frac{1200}{12}=100$$ gallons

Car: $$\frac{1200}{25}= 48$$ gallons

Truck uses (100-48) = 52 more gallons

*Units cancellation
$$\frac{Miles}{(\frac{Miles}{gallon})}=(Miles*\frac{Gallon}{Miles})=$$ gallons used

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Re: A certain car model averages 25 miles per gallon of gasoline. A certai  [#permalink]

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27 Mar 2018, 11:37
Bunuel wrote:
A certain car model averages 25 miles per gallon of gasoline. A certain truck model averages 12 miles per gallon of gasoline. If each vehicle is driven 1,200 miles, how much more gasoline (in gallons) will the truck use than the car?

(A) 26
(B) 32
(C) 48
(D) 52
(E) 68

The car uses 1200/25 = 48 gallons of gas.

The truck uses 1200/12 = 100 gallons of gas.

Thus, the truck uses 100 - 48 = 52 more gallons than the car does.

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Re: A certain car model averages 25 miles per gallon of gasoline. A certai   [#permalink] 27 Mar 2018, 11:37
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