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5120 once=5120/128 gallons= 40 gallons

distance travelled if mileage is 14 miles per gallon originally= 40*14 miles= 560 miles

Now after retrofitting 30% fuel saving, so net fuel consumed to travel the same distance of 560 miles= 40*0.7 gallons= 28 gallons.

The revised mileage= 560/28 mile/gallon= 20 mile/gallon
Fuel saved is 40-28 gallon in retrofitted vehicle= 12 gallon

In these 12 remaining gallon, the vehicle can travel another 20*12 miles with revised mileage= 240 miles.
Hence Answe-C
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Before install fuel-saving : 14 miles per gallon
After install use only 70% as much fuel as before to travel same distance => 14 miles need 0,7 gallon => 20 miles per gallons
5120 ounces =40 gallon
==> a full tank can travel 40 * 20 =800 miles ==> E
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given 14 miles uses 1 gallon, x miles use 70/100

14 * 100/70 (as this is 1/ (70/100)) = 2 * 10 = 20 miles

also given 1 G = 128 Ounces ---> 5120 Ounces = 5120/128 = 40 gallons

in normal scenario = 40 gallons gets used up going 40*14 miles = 560
now the 70% efficient one goes 40*20 miles = 800

question asked for how many "more" ---> 800 - 560 = 240
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The van can travel 14 miles in 1 gallon, which means it can travel 1 mile in 1/14 gallons.
Fuel needed to travel 1 mile after system is installed = 0.7*1/14 gallons = 1/20 gallons, which means it can travel 20 miles in 1 gallon
Tanks capacity is 5120/128 gallons.
Hence, the miles traveled after the system is installed = 20*5120/128 miles = 800 miles.
Before the system is installed, it can travel 14*5120/128 miles = 560 miles

We are asked how many more miles can the van travel on. So, this will be 800-560 = 240 miles.
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We have a tank that holds 5,120 ounces and 1 gallon = 128 ounces. so we have the capacity of 5120/128=40 gallons.
The van got 14 miles/hr before the fuel saving system. Thus the old range of the van is 14*40=560 miles.
Now the van uses only 70% as much fuel as it used previously to cover the same distance. the van now goes 14/0.7=20 miles per gallon.
40 gallons*20 miles= 800 miles is how far the van can go with the new mileage.
To find the difference---> 800-560=240 miles
Therefore, answer is C
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Given, van's fuel tank holds 5,120 ounces of fuel, which is 40 gallons.
Mileage before - 14 miles per gallon
Now, it uses 70% fuel for same distance travelled, 14 miles per 0.7 gallons, which is 20 miles per gallon

on a full tank, it travelled 14x40 = 560 miles (before)
Now it travels 20x40 = 800 miles

therefore, now it travels 800 - 560 = 240 miles more than before on a full fuel tank.
Bunuel
A delivery van has a mileage of 14 miles per gallon. After a fuel-saving system is installed, the van will use only 70% as much fuel as it used before to travel the same distance. If the van’s fuel tank holds 5,120 ounces of fuel, how many more miles can the van travel on a full tank after the system is installed? (1 gallon = 128 ounces)

A. 168
B. 224
C. 240
D. 560
E. 800


 


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Simple question, but it will catch out any if you dont read it well. It says how many MORE miles.

start with 5120/128 = 40 gallons
14x40 = 560 miles the car travels before fuel efficiency system

after the system, 14 miles per gallon becomes 14 miles per 0.7 gallons, 14/0.7 = 20 miles per gallon
40x20=800 miles
subtracts 800-560 = 240, final answer
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Calculate the tank capacity in gallons

The fuel tank holds 5,120 ounces, since 128 ounces to 1 gallon.

5120/128 = 40 gallons

Total distance
14 miles per gallon. with 40 gallons you can get 14 x 40 =560 miles. the van could travel 560 miles

New mileage (miles per gallon)
0.7 gallons of fuel to travel the same distance.

New millage is 14 x 10/7 = 20 miles per gallon

New range is 20 x 40 = 800 miles

Difference in ranges is 800 - 560 = 240 miles

Answer: C. 240
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The answer is (C)

Before installation,
14 miles/gallon
128 ounces = 1 gallon
5,120 ounces = 40 gallons
total distance = 14x40 gallons = 560 miles

After installation,
70% of 40 gallons = 28 gallons for 560 miles
1 gallon for 20 miles
Remaining 12 gallons = 12*20 = 240 miles more.
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Total tank capacity (in gallons) = 5120 ounces / 128 ounce per gallon = 40 gallons

Earlier full tank distance = 40 gallons * 14 miles per gallon = 560 miles

New mileage post improvement = 14mpg/0.7*1 = 20 miles per gallon
New full tank distance = 40 gallons * 20 miles per gallon = 800 miles

Extra distance covered = 800-560 = 240 miles
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1g -> 14m (g = gallons, m= miles)
now, 0.7g->14m
therefore, 1g -> 14/0.7 = 20m
full tank = 5120 ounces = 5120/128 g = 40g
coming to the problem, which asks how many more miles it can run on full tank, which will be: 40*(20-14) = 40*6 = 240miles. therefore(C)
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Van's fuel capacity = 5,120 ounces = 40 gallons
On full tank previously distance travelled = 14 miles/gallon * 40 gallons = 560 miles
with fuel-saving system this distance is covered with 70% fuel = 28 gallons
New mileage = 560/28 miles per gallons = 20 miles per gallons
Remaining fuel = 12 gallons
So extra distance travelled = 20 * 12 = 240 miles
Bunuel
A delivery van has a mileage of 14 miles per gallon. After a fuel-saving system is installed, the van will use only 70% as much fuel as it used before to travel the same distance. If the van’s fuel tank holds 5,120 ounces of fuel, how many more miles can the van travel on a full tank after the system is installed? (1 gallon = 128 ounces)

A. 168
B. 224
C. 240
D. 560
E. 800


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
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This is a very straight forward question. You just have to be good with numbers and conversions.
So the question stem says the car gives a 14 miles per gallon mileage. So 1 gallon of fuel goes for a 14 mile ride.

Now after a device to increase efficiency is installed, the car now goes for the same 14 miles for 0.7 gallons of fuel (70 percent fuel used)

Convert 5120 ounces to gallons. It is 40 gallons of fuel that is going to be used for the answer part.

initially 1 gallon gives 14 miles
so x miles for 40 gallons
x = 560 miles

Now after the new device is installed, 0.7 gallon gives 14 miles
so how many y miles is for 40 gallons. Cross multiply and we get
y = 800 miles

now we need to find y-x = 800 - 560 miles = 240 miles.

I hope my answer is legible and easy to understand. Thank you!
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As consumption of 1 gallon is reduced to 70% , it will take only 0.7 gallon to reach 14 mile . And to with rest 0.3 gallon one can go 6 mile . so total ( 0.7+0.3) or 1 gallon is needed now to reach 20 miles

Here, 5120 ounce divided by 128 ounce = 40 gallon.

Before , the car could travel 40*14 = 560 mile . [ when 1 gallon was needed to cover 14 mile]

After installing new system, car will now go = 40 *20 = 800 mile [ now 1 gallon can be used for 20 mile ]

so , extra distance = ( 800-560) mile or 240 mile

Ans is C. 240 miles extra
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Right option is C (240 mile)

14 Mile in 1 g (before)

14 mile in .7 g (after). So, 20 mile in 1 g with new system. So, every gallon it can travel 6 molre mile. 5120 ounce is 40 gallon as per the given conversation rate. So, 40*6 =240 mile extra travel with same fuel.
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Current scenario: 14 miles with 1 gallon,
5120 ounces= 40 gallons(using 1 gallon=128 ounces)
With 40 gallons distance = 40*14 = 560 miles.

Now with the fuel savings the fuel used is 70% of the initial usage hence it would need 40*70%=28 gallons to travel 560 miles.
So with 40 gallons the distance traveled would be 40*(560/28)=800 miles
Extra distance=800-560=240 miles
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I first set up a chart, as the question is asking for the difference between two values:
1. Before System
2. After System

1. The van will be able to travel 14 miles per gallon, so we need to multiply 14 by the total number of gallons in the tank which is given by ounces. Rewrite the numbers as 2 with an exponent to simplify faster. 5120 = 2^9 * 10 (remember that 2^10 = 1,024 as a benchmark.) and 128 = 2^7. We multiply the number of ounces by the number of gallons per ounce to cancel out the ounces.
2^9*10/2^7 = 2^2 * 10 = 40 gallons.

Total before system mileage is 40 * 14 = 400 + 160 = 560.

2. After the system is installed, the van only uses .7 gallons instead of 1 gallon for every 14 miles traveled. Simply plug in:

14/.7 * 40 = 14/7/10 = 14*10/7 = 2*10 now multiply by 40 for the gallons to get 20 * 40 = 800.

800 - 560 = 240. Answer C.
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