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# A certain truck uses 18 gallons of diesel fuel in traveling 270 miles

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A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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27 Jul 2016, 00:45
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5% (low)

Question Stats:

86% (01:21) correct 14% (01:40) wrong based on 137 sessions

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A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

A. 8
B. 9
C. 12
D. 15
E. 27

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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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27 Jul 2016, 04:12
1
Bunuel wrote:
A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

A. 8
B. 9
C. 12
D. 15
E. 27

There are two sets 18G1 gallons and 10G2 gallons details given.

18 gallons covering 270 miles

Then 1 G1 is used to cover 15 miles.

Now for 10 G2 covering 270 miles.

then 1 G2 is used to cover 27 miles.

There must 27 - 15 = 12 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 270 miles.

OA please...will correct if I missed anything..
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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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27 Jul 2016, 10:25
1
Bunuel wrote:
A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

A. 8
B. 9
C. 12
D. 15
E. 27

Current mileage= 270/18 miles/gallon= 15 miles/gallon

New mileage= 270/10= 27 miles/gallon

by how many miles per gallon must the truck’s fuel mileage be increased= 27-15= 12 miles/gallon
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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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27 Jul 2016, 11:01
Bunuel wrote:
A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

$$\text{mpg} = \frac{\text{distance (miles)}}{\text{volume (gallons)}}$$

$$\frac{270}{18} = 15\text{mpg}\\ \frac{270}{10} = 27\text{mpg}$$
$$27 - 15 = 12$$

C. 12

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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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27 Jul 2016, 13:10
Mileage = $$\frac{distance}{gallons of fuel used}$$

original mileage of truck = $$\frac{270}{18}$$ = 15 miles/gallon

new mileage of truck = $$\frac{270}{10}$$ = 27 miles/gallon

so the mileage must be increased by 27 - 15 = 12 miles/gallon

+1 kudos if you like the solution
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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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10 Oct 2018, 03:19
In 18 gallons= 270 miles, therefore 1 gallon= 270/18 miles, thus in 10 gallons = (270*10)/18= 150 miles. Diffrential is 270-150= 120. Thus to cover 120 miles in 10 gallons you need 120/10= 12 miles extra mileage to be kicked in for us to cover 270 miles
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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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10 Oct 2018, 07:04
Bunuel wrote:
A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

A. 8
B. 9
C. 12
D. 15
E. 27

$$\frac{270}{10} - \frac{270}{18}$$

$$= 27 - 15$$

= 12, Answer must be (C)
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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles  [#permalink]

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13 Oct 2018, 17:11
Bunuel wrote:
A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

A. 8
B. 9
C. 12
D. 15
E. 27

The current rate is 270/18 = 15 miles per gallon.

The new rate would need to be 270/10 = 27 miles per gallon.

So the truck’s fuel mileage must be increased by 27 - 15 = 12 mpg.

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Re: A certain truck uses 18 gallons of diesel fuel in traveling 270 miles   [#permalink] 13 Oct 2018, 17:11
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