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GMAT Club World Cup 2026 (Day 2): A delivery van has a mileage of 14

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cerbfrogue

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07 Jul 2026, 12:17

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Before:
14 miles / 128 ounces
5,120 / 128 = 40
40 * 14 = 560 miles for a full tank

After:

14 / 128 * 0.7 => 14 miles per 89.6 ounces

(5120 / 89.6) * 14 = 800 miles for a full tank

800 - 560 = 240 miles - answer C

kavyamahajan9

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07 Jul 2026, 12:19

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Option c - 240

Converting the fuel tank into gallons = 5120/128 = 40 gallons

Now getting the mileage of van = 14 x 40 =560 miles per gallon

fuel usage - 70 % for the same distance
so for each gallon it can travel = 1/70% = 100/70 = 10/7

new mileage = 14 x 10/7 = 20 miles per gallon

now distance with new mileage
40 x 20 =800

More distance = 800 - 560 = 240

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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07 Jul 2026, 12:21

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Bunuel

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Given 1 gallon = 128 ounces, we calculate 5120 ounces to be equal to 40 gallons of fuel stored
Distance covered by van = 14 miles/ gallon * 40 gallons = 560 miles

As per the fuel saver only 70% of fuel is used hence, 0.7 * 40 = 28 gallons of fuel which is consumed to travel the same distance of 560 miles
Hence the new mileage will be 560/28 = 20 miles/ gallon
to calculate the extra distance we take the difference in mileage i.e 20-14 = 6 miles/gallon
Multiply 6 with the capacity of full tank (40 gallons) - 6 x 40 = 240 miles

Ans - (C) 240 miles

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07 Jul 2026, 12:31

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Bunuel

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Fuel tank size into gallons: 5,120 ounces / 128 ounces per gallon = 40 gallons

Before the system: 40 gallons * 14 miles per gallon = 560 miles

After the system, the van uses only 70% of the fuel, so it can travel: 560 / 0.70 = 800 miles

Extra distance: 800 - 560 = 240 miles

Option C

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07 Jul 2026, 12:36

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As I solved the question............

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Arya25

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07 Jul 2026, 12:52

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GIVEN THAT 14miles/gallon as mileage.
let before be x and after be 70/100(x)
since 1g=128 ounces
for 5120 ounces = (5120/128) g

since 14 m = 1g then
5120/128*14 miles = x fuel consumed. Then
5120/128*14*100/70 = fuel consumed after saving = 800. Option E

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07 Jul 2026, 13:03

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5120/128 = 40 gallons
Normal case: 14miles/gallon, then on 40 gallons 40×14=560 miles
Special case: if 0.7 gallons required for 14 miles, 14×40/0.7 = 800 miles can be travelled

Extra= 800-560 = 240 miles

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07 Jul 2026, 13:48

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Original mileage = 14 miles/gallon
Now uses 70% as much fuel to cover the same distance
Tank holds 5,120 ounces, converted to gallons that's
$\frac{5120}{128}$ = 40 gallons

So per the original mileage:
14 miles - 1 gallon
x miles - 40 gallons
x = 14 x 40 = 560 miles {cross multiplication}

70% of 40 gallons it uses to cover 560 miles
70% of 40 = 70/100 x 40 = 28 gallons

40 - 28 = 12 gallons is what's left, which is the additional distance it will cover.
so, if it does:
28 gallons - 560 miles
12 gallons - x miles

x = $\frac{(560x12)}{28}$ = $\frac{(7 x 80 x 3 x 4)}{7 x 4 }$= 240

thus, Answer is C. 240 miles

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07 Jul 2026, 14:44

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tank capacity = 5120 ounce.
1 gallon = 128 ounce

old system = 1 gallon, can drive 14 miles.

so total miles driven = fuel * mileage
(5120/128) *(14/1)

560 miles

now with new system, van can use only 70% of fuel as it used to before to travel same distance.

for 14 miles, can use only 0.7 gallon.

total miles = fuel * mileage
= (5120/128) * (14/0.7)
800 miles

difference = 800-560 = 240 miles.

choice C

Bunuel

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07 Jul 2026, 15:05

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First let's calculate the number of miles that can be travelled before the system is installed.

We have 5120 ounces in the tank----> 5120/128= 40 gallons.

with 1 gallon of fuel, we can cover 14 miles, hence, with 40 gallons we can cover 560 miles.

Now, calculating the number of miles after the system is installed.

If for 14 miles we use 128 ounce, then for 1 mile we use 64/7 ounce.

70% of 64/7= 6.4 ounce per mile will be used. Which means now the distance travlled is 5120/6.4= 800

No. of miles travelled more than before= 800-560=240

MG121

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07 Jul 2026, 16:08

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mileage old =14 mil/gal
mileage new = 14/0.7 = 20 mil/gal (as we only use 70% of fuel for the same distance, for simplicity consider 14 mil as a given distance)
Range = 5120 oz * 1/128 gal/oz * 20 mil/gal ==> 800 miles

Bunuel

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07 Jul 2026, 17:07

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The GMAT official question patterns posted on GMAT club helped with this question.

solving this considering miles = distance, mileage = speed, gallons = time, and using distance = speed * time

initial mileage = 14mpg, let the distance be d and gallons be g ---- 1
updated mileage = x, distance = d, gallons = 0.7g (since 70% of the fuel will be used to cover the same distance) -----2

equating distance from 1 and 2
14 * g = x * 0.7 g
This gives x (updated mileage) = 20mpg

Now we have 5120 ounces of fuel, which is same as 5120/128 g = 40g of fuel
distance covered with initial mileage of 14mpg = 14*40 = 560 miles
distance covered with updated mileage of 20mpg = 20*40 = 800 miles

Additional distance = 800-560 = 240 miles, hence C)

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07 Jul 2026, 17:09

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70% fuel used means new mileage is 20 miles per gallon. thus difference in miles traveled is 240

Bunuel

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07 Jul 2026, 17:16

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14 miles per gallon -> 70% -> 14 miles per 0.7 gallon

14/0.7 = 20 miles per gallon

5120/128 = 40 gallons

before: 40*14 = 560
after: 40*20 = 800

after-before = 800-560 = 240

IMO C

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07 Jul 2026, 17:32

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The van will use only 70% means that it will use 0.7 gallons in 14 miles or 20 miles per gallon.
5120 ounces are 40 gallons.
Originally the van will cover 40*14 miles = 560 miles
After fuel-saving system installed the van will cover 40*20 miles = 800 miles

800 miles - 560 miles = 240 miles

Answer C

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07 Jul 2026, 18:28

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5120/128 =40 gallons
initially 14=d/40 d=560 miles
so now to travel the same distance it will take 14*40=mileage*0.7*40 so new mileage will be 20
now 20*40= distance covered =800
difference 800-560 =240 miles
so C

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07 Jul 2026, 18:59

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1. Convert oz given to gallons. 5120 oz / 128 oz per gallon = 40 gallons
2. Convert new rate of consumption from given of 14 miles per gallon expanded in equation form of 1 gallon * rate = 14 miles; to new rate of 7/10 * 1 gallon * rate = 14 miles ; which equal new rate of 20 miles per gallon. (rate = 14 * (10/7))
3. Set up equation of 40 gallons * 20 miles per gallon - 40 gallon * 14 miles per gallon; factor 40 out to get 40 gallons ( 20 mpg - 14 mpg) which becomes 40 gallons * 6 mpg = 240 miles more.

Bunuelt

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07 Jul 2026, 19:05

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The new engine uses 70% fuel.
14 miles -> 1 gallon
14 miles -> 0.7 gallon or 20 miles -> 1 gallon

The question asks how many more miles it can travel.
Total miles after - total miles before = 5120/128 * 20 - 5120/128 * 14 = 5120/128 * 6 = 240 more miles

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07 Jul 2026, 19:18

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Before, 1 gallon = 14 miles
Now, 0.7gallon = 14 miles ( fuel-saving)

Fuel available
5120 Ounces
Conversion 128 Ounces = 1 gallon ; 5120/128 = 40 gallons

Saving
40gallons *14 miles = 560
(40 gallons *17)/0.70 = 800

Saving = 240

Bunuel

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