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Tank = 5120/128 = 40 gallons
Before = 14 * 40 = 560 miles
After: fuel use = 70%, so mileage = 14/0.7 = 20 mpg
After: 20*40 = 800 miles
More miles: 800-560
=240
Option C
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total capacity of the tank= 5120 ounces which is 5120/128= 40 gallons

The van covers 14 miles on 1 gallon of fuel. total distance travelled for 40 gallons
= 14x40= 560 miles.

After installing the fuel system, the van will now use 70% of the fuel that it used to use before.
So new mileage= 14 X 10/7 = 20 miles/ gallon

With 40 gallon and 20 miles/gallon, the new covered distance will be 20 x 40= 800 miles.

Extra distance travelled= 800-560 =240
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Firstly, let convert 5120 ounces to gallons. That is 5120/128 = 40 gallons

Originally, the van travelled
14 miles ==> 1 gallon of gas

However, after the system was installed, it only took 70% of the fuel i.e. the van travelled
14 miles ==> 0.7 gallon of gas

Thus, let it travel x miles in 40 gallons.

Therefore, x = 14X40/0.7 = 800 miles

Answer is (E) 800 miles
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The tank holds \(5120\) ounces.
Since \(1\) gallon = \(128\) ounces, we can convert the total capacity:
\(\frac{5120}{128} = 40\) gallons.

Before the system is installed, the van travels \(14\) miles per \(1\) gallon.
Total original distance = \(40 \times 14 = 560\) miles.

After the fuel-saving system is installed, the van travels the same \(14\) miles using only \(0.7\) gallons (which is \(70%\) of \(1\) gallon).
Total new distance = \(40 \times \frac{14}{0.7} = 40 \times 20 = 800\) miles.

Hence, increase in the distance after installing the system \(800 - 560 = 240\) miles.
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1 gallon = 128 ounces -> fuel tanks have 40 gallons
old: 14m/g -> 560m/40g
new: 14m/(7/10)g -> 20m/g -> 800m/40g
--> can travel more: 800-560=240m
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The tank holds 5,120 ounces and 1 gallon = 128 ounces

Tank capacity in gallons = 5,120/128 = 40 gallons

With a mileage of 14 miles per gallon and a full 40 gallon tank -
Original distance = 40 * 14 = 560 miles

But system uses only 70% as much fuel to travel the same distance. So there will be extra fuel remaining that will take van even further, so

New distance = Original distance/0.7 = 560/0.7 = 800 miles

So, the extra miles that can be traveled further = 800 - 560 = 240 miles, so C is our answer
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A delivery van has a mileage of 14 miles per gallon.
Fuel usage = 1/14 gallons/mile
After a fuel-saving system is installed, the new fuel usage = 70%/14 = .7/14 = 1/20 gallons/mile; New mileage = 20 miles/gallon
Fuel tank capacity = 5120 ounces = 5120/128 = 40 gallons

Before fuel-saving system is installed, miles travelled on a full tank = 14*40 = 560 miles
After fuel-saving system in installed, miles travelled on a full tank = 20*40 = 800 miles

More miles van can travel on a full tank after the system in installed = 800 - 560 = 240 miles

IMO C
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Given mileage = 14 miles / gallon, after installation of efficiency equipment, vehicles uses only 70% as much fuel, earlier 1 gallon = 14 miles, now 0.7 gallons = 14 miles, solving = 20 miles / gallon. 1 gallon = 128 ounces. 5120 gallons = 5120/128 = 40 gallons. So increase in miles travelled = 20*40-14*40 = 240.
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Here's my solution for this question
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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

mileage of van 14 mpg
tank capacity is 5120 ounces 1 gallon = 128 ounces
so tank capacity in gallons = 5120/128 ; 40 gallons
total miles the van can cover in full tank = 14*40; 560 miles
with new fuel efficiency the mileage has increased to 70% so the distance it covers will increase by same 560/.7 = 800 miles
difference in miles new and earlier = 800-560 ; 240
240 ; option C is correct
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14miles>>>>1g

after intallation 14mile>>>> 0.7g

128ounce=1g

5120 ounes= 5120/128 g ==40g

After system installation
0.7g>>>14miles
40g>>>40g*14miles/0.7g=800miles

Before system installination: 14miles/g*40g =560miles

so difference in distance due to installation= 800-560=240miles (c) is the answer
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128 ounce = 1 gallon ,
thus 5120 ounces = [5120][/128] = 40 gallon.
previously 1 gallon = 14 miles
Now 0.7 gallon = 14 miles, since it takes 70% of fuel to cover the same distance.
thus now 1 gallon = [14][/0.7] = 20 miles
therefore, 40 gallons = 40*20 = 800 miles.
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answer is C.

As 128 ounces is 1 gallon, 5120 ounces of fuel equals 40 gallons. Now with the new system in place, we only need to use 70% of the fuel to cover the same distance. This means, if earlier we were able to travel 14 miles with 1 gallon of fuel, we will now be able to travel 20 miles with 1 gallon of fuel. Hence, with 40 gallons, if earlier we would have covered 560 miles, now we can cover 800 miles. This is 240 miles higher.
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First convert ounces to gallons
5120 ounces= 40 gallons
Total miles covered in 40 gallons= 560
Since 70% fuel is saved
so 70% of 40 gallons = 28 gallons
Now using unigtary method-
28 gallons--> 560 miles
1 gallon--> 20 miles
If tank can hold 40 gallons
then total miles = 800 miles
How many more?
800-560 = 240 MILES! So, C is answer.
(I excitedly marked 800 (E) without properly reading the question :P )
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tank cap in g
5120/128=40 gallons
org full t dst
40g * 14 miles/g =560 miles
70% is 0.7
14/0.7=20 m/g
40g * 20m/g = 800miles
distance
800-560 = 240 miles

ans C. 240
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Milage before Fuel saving system = 14 m/g. Total fuel = 5120/128 = 40 gallons
Now, after fuel system it will only use 70 percent that would be 40x70/100 = 28 gallons
so now milage after fuel system = 14 x 40 / 28 = 20 m/g
difference is of 6 m/g so the total improvement in miles would be 6 x 40 = 240.
That is C.
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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van runs 14 miles/gallon
since we have 5120 ounces fuel, it will be 5120/128 = 40 gallons
total miles covered in 40 gallons = 14 * 40 = 560 miles

After, improvement it takes 70% of fuel to travel same distance. It means it will now take 0.7 gallon for 14 miles.
So, in 40 gallons, it will cover = (40 * 14/0.7) = 800 miles

So, extra miles = 800 - 560 = 240 miles. Option C is the answer
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