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

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Vijendra.D

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08 Jul 2026, 00:13

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Today, We are going to solve this using unitary method

Given that in initial mileage the car can travel 14 miles in 1 gallon

So we can write it as

14 miles -------> 1 gallon

Or

14 miles -------> 128 ounces
X miles. -------> 5120 ounces

Solving for X

X == 5120 * 14 / 128 === 560 miles

---------------------------------------------------

After installing fuel system the efficiency increased. Now to travel 14 miles we need only 70 % of fuel i.e. 0.7 gallon of fuel only

14 miles -------> 0.7 Gallon

Or

14 miles -------> 0.7 * 128 ounces
Y miles. -------> 5120 ounces

Solving for Y

Y == (5120 * 14) / (0.7* 128) === 800 miles

---------------------------------------------------

Now we are asked ::: how many more miles can the van travel on a full tank after the system is installed

Therefore Y - X ==== 800 - 560 ==== 240

Hence answer option C

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08 Jul 2026, 00:32

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Original mileage = 14 M/G
After installation, new mileage = 14M/0.7G = 20 M/G
So 6 miles benefit per gallon

Total miles = 5120/128 =40
Total benefit for 40 miles =40*6=240

So C is the answer

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08 Jul 2026, 00:52

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tank capacity = 5120 ounces = 5120/128 = 40 gallons

before system:
14 miles in a gallon
in 40 gallons: 40*14 = 560 miles

after system:
14 miles in 0.7 gallon
in 40 gallons: (40*14)/0.7 = 800 miles

800-560 = 240 more miles with new system. Answer C

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08 Jul 2026, 01:50

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We are given that a delivery van has a mileage of 14 mpg
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.

Before, van used 1 Gallon to cover 14 mile,
and after system installation, van will use 0.7 Gallon to cover 14 miles; So new mileage will be = 14/0.7 = 20 mpg

So after fuel-saving system installation, van can cover 6 more mile per gallon.

Capacity of van's fuel tank = 5120 ounces, and 128 ounces = 1 Gallon

So fuel tank's capacity = 5120 / 128 = 40 Gallon

An question is how many more miles can a van travel on a full fuel tank after system is installed

= 40 (g) * 6 (mpg)
= 240 miles
So option C is the correct answer.

JiriNovacek

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08 Jul 2026, 02:10

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I solved this using the direct proportion method. It's an easy one.

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rajdeep212003

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08 Jul 2026, 02:15

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i got option C !! I found this one easy !!
-- 5120 / 128 = 40 g ,, now 40 * 14 = 560 ,,
-- Earlier it is 70% now it is 100% that's why 560 / 70 % = 800 ( new milage )
-- now new - old = 800 - 560 = 240

Pratyaksh1907

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08 Jul 2026, 03:19

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140 miles in 10 g (before), now 140 mils in 7 g i.e 20 miles per gallon.
1g = 128 ounces
multiply 40 both sides'
40g = 5120 ounces
Therefore, full tank capacity is 40 g
before,
distance = 14 * 40 = 560 miles
now,
distance = 20 * 40 = 800 miles

hence, 800 - 560 = 240 miles morre

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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08 Jul 2026, 03:31

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Average given is 14 miles per gallon.
Capacity – 5120 ounces = 5120/128 = 40 gallons.

before installation of the fuel-saving system,
Distance travelled with 40 gallons = 40 gallons * 14 miles/gallons = 560 miles

Now, 560 miles is travelled in 70% of the total fuel = 70% of 40 = 28 gallons

gallons of fuel left = 40 - 28 = 12 gallons

28 gallons -> 560 miles
12 gallons -> 560/28 *12

= 240 miles

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08 Jul 2026, 03:35

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So, $\frac{{14mi}{1gl}[}{fraction]$ after change $[fraction]{14mi}{0.7gl}}$
Therefore that's 20mi per gallon now. $5,120 ounces=[fraction]{5,120 ounces}{128 ounces in gallon}= 40 gallons[/fraction], 40*20 - 40*14 =240 $

And the final answer is (C)

Bunuel

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08 Jul 2026, 03:45

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It’s C.240
Because:
Tank = 5120/128 = 40 gallons
Before: 40x14 = 560 miles
After: new mileage = 14/0,7 = 20 mpg
=> 40x20 = 800 miles.
Difference = 800-560 = 240

Bunuel

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08 Jul 2026, 03:58

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[quote="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

5120 ounces = 5120/128 = 40 gallons

Earlier the car used to drive 14 mi/g

After system installation the car drives with 70% of the earlier fuel consumption rate. i.e. @ 14/0.7 = 20 mi/g

With 40 gallons of fuel the car used to travel = 14×40 miles

With same amt. Of fuel the car can now travel 20×40 miles

Hence, the increase in travel distance = 20×40 - 14×40 = 240 miles. .. Ans. C.

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08 Jul 2026, 04:05

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c. 240

New mileage - 70/100 x 128 = 89.6 ounces for 14 miles

5120/89.6 then x14 = 800

Old Mileage-560

800-560 = 240

C

Bunuel

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08 Jul 2026, 04:26

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I am unable to upload solution from notebook.
So without system
1 gallon ----> 14 miles
128 ounces ----> 14 miles
5120 ounces ----> 14 * 5120/128=560 miles

with system, 560/0.7=800 miles

so the difference is 800-560 =240 miles C

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08 Jul 2026, 04:28

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Bunuel

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In 1 gallon- 14 miles travel
After installation of fuel saving system, it consumes 70% fuel, implies, in 0.7 gallon- 14 miles; therefore new mileage- 1 gallon = 14/0.7 = 20 miles.
For 5120 ounces of fuel (5120/128 = 40 galon)-
Earlier, it would travel- 40*14= 560 miles
Now, it would travel- 40*20=800 miles.
Additional miles travel= 800-560 = 240 miles.

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08 Jul 2026, 04:38

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Finding capcity of tank in gallons:
5,120/28 = 40 Gallons

How far the van go before the upgrade
old mileage = 14 miles per gallon
40 gallons*14mpg= 560 miles

new mileage after upgrade
the van now only needs 70% as much fuel go he same distance. that meant it got more efficient
so we divide the old mileage by 0.70
14/0.70 = 20 mpg

how far the van go after the upgrade
40 gallons*20 mpg = 800 miles

how many more miles is that
800-560= 240 miles

Bunuel

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08 Jul 2026, 04:41

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1 gallon = 128 ounce. Tank has 5120 ounce = 5120/120= 40 gallon. 14 miles covered in 1 gallon . Originally covered = 14*40=560. New Delivery system 14 miles covered in using 0.7 gallon new distance covered = 14/0.7*40=800 miles . Extra miles covered =800-560=240

Bunuel

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08 Jul 2026, 04:42

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Current mileage for the delivery van is 14 miles/gallon
After fuel-saving system is installed, mileage would be 14 miles/0.7 gallon = 20 miles/gallon

5120 ounces / 128 ounces = 40 gallons

So earlier with 40 gallons, distance travelled would be 560 miles
But with fuel saving system, in 40 gallons van could travel 800 miles

Hence,
800 - 560 = 240 miles additional could be travelled with fuel-saving system installed

Alternate way
14 miles/ gallon regularly
20 miles/ gallon with fuel saving system

So able to travel 6 miles/gallon extra
Thus with 40 gallons, 6*40=240 miles extra

Option C

Bunuel

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08 Jul 2026, 04:52

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IMO - ANS is E = 800 Miles
Given => Mileage = 14Miles/Gallon and then it said after fuel saving install it will use only 70% so in simple word it says 14 miles/ 0.7 Gallon (little tricky to understand) we could say 1.3 * 14 miles but that would be wrong so after fuel saving installment the mileage would be 20 miles / gallon.
Then just basic mathematics Ounces to Gallon = 5120/128 = 40 Gallons so 20*40 = 800 miles option (E)

I do have one extra shortcut trick for this specific question if someone just multiple 14 miles/gallon to 40 Gallons he will get 560 and only 1 answer choice is bigger than that value so answer could be calculated that way as we understand without fuel save we could run 560 miles then more than that just 1 value but it will work for this specific question here answer choice help us.
Thanks!

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08 Jul 2026, 05:07

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Tank capacity in gallons is 5120/128= 40 gallons
Total distance at 14m/g= 14x40 = 560 Miles
Total distance after new system = 100/70x560= 800
Extra distance covered 800-560= 240 Miles
Ans C

Bunuel

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08 Jul 2026, 05:11

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So 14miles in 1 gallon, after installing the system, 14 miles in 0.7gallons so it is 20 miles in 1 gallon.

5120/ 128 =40 gallons

560 miles in 40 gallons in general, but after installing the system, 800 miles in 40 gallons
So 240 miles is the difference meaning 240 miles the van can travel after installing the system.