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

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shaliny

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08 Jul 2026, 05:26

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Fuel eff. = 14 mpg
fuel in tank= 5120 ounces = 5120/128 gallon = 40 gallon
before Installation distance covered = 40* 14= 560 miles
After Installation 70% less fuel used, So distance = (40 *14)/ 0.7 = 800 miles

So after installation he covered extra distance of, 800- 560 = 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

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gaurikhanna17

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08 Jul 2026, 05:36

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IMO :E
as per the question 14 miles ---> in 1 gallon originally
after installation 14 miles ---> in 70/100 of 1 gallon = 7/10 gallon
also 1 gallon = 1280 ounce
therefore, 7/10 gallon = 7/10 *1280 ounce ==> in this it will still cover 14 miles
Now in 5120 ounce ===> using unitary method --> 14*10*5120 / 7*128 = 800 miles

Bixy34

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08 Jul 2026, 05:52

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Van's Fuel Tank = 5120 ounces i.e 40 gallons
Current mileage = 14 miles/ gallon
Now, since same distance can be covered with 70% of the fuel, this implies that van can now cover 14 miles / 0.7 gallon.
So in 1 gallon van can now cover 20 miles instead of 14 miles.
Additional miles = 6 miles
Since Fuel Tank is 40 gallons ~ 40 x 6 = 240 miles additional can be covered now

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08 Jul 2026, 05:55

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We know that,
Mileage per gallon = 14 miles

Van's fuel tank capacity = 5120 ounces = 5120/128 = 40 gallons
Total mileage with a full fuel tank = 40*14 = 560 miles

After new fuel saving system installation, 70% fuel is required for previous distance
=> New milage = 14/0.7 = 20mil/gallon

New total mileage with a full fuel tank = 40*20 = 800 miles

Therefore,
Additional mileage = 800 - 560 = 240 miles

C.240

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08 Jul 2026, 06:30

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Bunuel

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Initial mileage = 14 miles per gallon
Mileage after installation of fuel-saving system = 14 miles per 0.7 gallon
Total capacity of fuel tank = 5,120 ounces = 5120/128 = 40 gallons

Total distance travelled with initial mileage = 14*40 = 560
Total distance travelled after improved mileage = 40*14*10/7 = 800
Extra miles that the van can travel after installation of fuel-saving system = 800-560 = 240

Answer is C.

snorlax02

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08 Jul 2026, 06:38

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14 miles with 1 gallon -------> efficiency 70% ----------> 14miles with 0.7gallon = 20miles per gallon

Fuel present - 5120 ounces -> 40 gallons

with 40 gallons we can travel 40*20 miles -----> 800 miles

Bunuel

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08 Jul 2026, 06:52

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Converting ounces to gallons,
5120/128 = 40 gallons
The fuel tank holds 40 gallons
Original mileage - 14 miles per gallon
New mileage after system installation = 14/0.7 = 20 miles per gallon

New distance covered = 20*40
Original distance covered before installation = 14*40

Difference = 6*40 = 240 miles.

Therefore the van can travel an additional 240 miles after the system is installed.

Bunuel

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08 Jul 2026, 07:19

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x gallons ---> 14 miles ---- (1)

0.7x gallons ---> 14 miles (it travels the same distance)

OR

x gallons ---> 20 miles (14/0.7 miles) ----- (2)

Total fuel tank capacity -- 5120 ounce or 40 gallons (1g=128 ounce gives us 1/128 gallon=1 ounce, which means (1/128)*5120 gallon= 5120 ounce, 40 gallon=5120 ounce)

Question is asking how many more miles?

Before fuel saving system-

Using eqn (1)-

Full fuel tank of 40 gallon will give 14 miles per gallons = 40*14=560 miles

After fuel saving system-

Using eqn (2)

Full fuel tank of 40 gallons will give 20 miles per gallons which is 800 miles (40*20)

Difference = 800 miles - 560 miles = 240 miles

Bunuel

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08 Jul 2026, 07:25

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The question get's quite simple if figure out how much has the mileage changed and what is the capacity of the fuel tank.

For the first question, change in mileage:

Mileage currently:

14 Mile == 1 gallons
1 Mile == 1/14 gallons

Now, only 70% of fuel is used for same distance

For the new fuel system:

1 Mile = 1/14 * 0.7 = 1/14 * 7/10 = 1/20
20 Miles = 1 gallon.

Change in mileage = (20 - 14) = 6 miles per gallon.

For the second question, size of tank:

Distance travelled by a car with full tank = Amount of fuel it holds * Mileage

for the old tank = (Amount of fuel * Old Mileage)
for the new tank = (Amount of fuel * New Mileage)

What the question wishes to answer? -> How many more miles can the van travel on a full tank -> Distance covered by with old fuel system - Distance covered by new fuel system

= (Amount of fuel) * (New Mileage - Old Mileage)
= 5120/128 * (20 - 14) -> converting ounces to gallons 1 gallon == 128 ounces, hence, 5120/128 = current fuel capacity in gallons)
= 40 * 6
= 240

IMO, Option (C)

Bunuel

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08 Jul 2026, 07:29

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let consider r1= mileage before fuel saving system
r2 = mileage after fuel saving system

r1=14mpg
r2= $14*10/7$ (fuel consumption and efficiency are reciprocals)
= 20mpg

Now the tank capacity = 5120/128 = 40g

old distance= $14*40$=560miles
New distance =$ 20*40$ = 800miles
difference= 240miles

Answer C

EliteSchools

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Here is the solution of the question asked, comment if you have doubt in the solution.

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IMG_5532.jpeg [ 369.1 KiB | Viewed 183 times ]

patnaik1988

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08 Jul 2026, 08:00

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Hi, Before Mileage=14 miles/gallon; After fuel saving system, Mileage = 14/0.7 = 20 miles/gallon. This results in gain of 6 miles/gallon. We are asked for a full tank of 5120 ounces = 5120/128 = 40 gallons, additional miles of running = 40x6 = 240 miles (Answer Choice C)

Bunuel

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Amarjeet25

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08 Jul 2026, 08:04

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First of all, let us calculate capacity of fuel tank 512 0÷1 28 equal to 40 gallon
Before installation of system, distance travelled is equal to 14 into 40 equal to 560 miles
After installation installation, 70% of the fuel is used for same distance.
The new mileage become 14*[ 10÷7 ]equal to 20 miles per gallon
New distance on full tank is 800 miles
So 800-560 equal to 240 is the extra miles covered
Option C is correct

ga821

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08 Jul 2026, 14:43

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He can travel 14 miles in 1 gallon.

1 gallon is 128 ounces so 5120 ounces will be 40 gallons = total capacity of the tank

therefore initially the person can travel 14 miles per gallon * 40 gallons = 560 miles

Now the usage is 14 miles in 0.7 gallon (since capacity reduces to 70%)
therefore, 40*14/ 0.7 = 800 miles

Difference is 240 miles - answer is C

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09 Jul 2026, 07:19

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How many MORE miles, the question was asking the increase, not the new mileage. After calculating 800 i had to compare to existing. I stopped at 800 and got the answer wrong