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# A car gets 30 miles to the gallon. If it is modified to use a solar

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Math Expert
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A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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13 Jul 2015, 23:59
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Difficulty:

55% (hard)

Question Stats:

62% (01:30) correct 38% (01:39) wrong based on 237 sessions

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A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

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Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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14 Jul 2015, 00:39
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Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

Solution -
Mileage before modification = 30 * 15 = 450 miles

After modification,
1 gallon of fuel gets 30/(.75) = 40 miles per gallon.
Mileage before modification = 40 * 15 = 600 miles

Extra Miles Car will travel after modification = 600 - 450 = 150 miles. ANS B
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A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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17 Jul 2015, 03:00
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Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

Before modified:
1 gallon ------- 30 miles
15 gallons ---- $$15*30=450$$ miles

After modified:
$$0.75*1=\frac{{3}}{{4}}$$ gallon ------- 30 miles
--> 15 gallons ---------------- $$\frac{{15*30*4}}{3}=600$$ miles
--> after modified, the car is able to travel $$600-450=150$$ more miles. Answer: B
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Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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17 Jul 2015, 04:58
Original mileage = 30 miles/gallon.

Mileage when a solar panel is used = 30/0.75 = 40 miles/gallon.

Capacity of fuel tank = 15 gallons.

Difference: (40*15) - (30*15) = 150. Ans (B).
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Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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17 Jul 2015, 07:52
Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

1 gallon will give 30 miles
Therefore, 15 gallons will give 450 miles
After modification, 0.75 gallons will give 30 miles
Therefore after modification, 15 gallons will give=(15*30)/0.75=600 miles
B
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Posts: 35
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GPA: 4
Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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17 Jul 2015, 08:35
Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

Currently, the car gets 450 (30*15) miles per tank.

.75x = 30
x = 40

New tank gets 40*15 = 600

B
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Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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18 Jul 2015, 05:05
Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

Total miles to the car with full tank = 30 * 15 = 450 miles
After adding the solar panel, (3/4) * x = 30, => x = 40 miles per gallon.
Total miles after modification => 40 * 15 = 600 miles
The question is the difference => 600 - 450 => 150 miles.

Option B
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Posts: 52344
Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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19 Jul 2015, 12:23
Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

800score Official Solution:

After the modification, the vehicle will use less fuel, and will be able to travel 30 miles using just 75% of 1 gallon of fuel, or 0.75 gallons. Therefore, it will travel 30/(0.75), or 40 miles, per gallon of fuel.

Thus, it can travel an additional 10 miles per gallon, and an additional 150 miles per full tank.

The correct answer is choice (B).
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Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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28 May 2017, 04:54
Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

Normal miles/gallon = 30

when it uses 75% fuel per mile, it will travel
$$30 * \frac{100}{75} = 40 miles/gallon$$

Difference per gallon = 10 miles/gallon

Difference on 15 gallons = 15*10 = 150 miles

(B)
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Re: A car gets 30 miles to the gallon. If it is modified to use a solar  [#permalink]

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20 Jan 2019, 16:20
Bunuel wrote:
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A. 112.5
B. 150
C. 337.5
D. 450
E. 500

Kudos for a correct solution.

My thought process if it helps anyone:

mileage = 30 miles/gallon
gas capacity = 15 gallons
total distance travel-able = 450miles

If a solar panel is installed the car will only use 3/4 the amount of fuel. This means the car will be able to travel the same distance at 15*3/4 gallons of fuel. We can setup the equation as such:

$$450 = (15*\frac{3}{4}) * x$$

x = 40 miles/gallon
40 * 15 = 600 miles travel-able with the solar panel

600 - 450 = 150 miles
Re: A car gets 30 miles to the gallon. If it is modified to use a solar &nbs [#permalink] 20 Jan 2019, 16:20
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