GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jan 2019, 01:39

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# A truck traveled 336 miles per full tank of diesel on the national hig

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52278
A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

26 Sep 2018, 04:03
1
8
00:00

Difficulty:

45% (medium)

Question Stats:

71% (02:12) correct 29% (03:13) wrong based on 126 sessions

### HideShow timer Statistics

A truck traveled 336 miles per full tank of diesel on the national highway and 224 miles per full tank of diesel on the state highway. If the truck traveled 4 fewer miles per gallon on the state highway than on the national highway, how many miles per gallon did the truck travel on the state highway?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 15

_________________
Director
Joined: 19 Oct 2013
Posts: 509
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

28 Sep 2018, 13:46
2
1
Highway mileage = x + 4

224/x = y
336/(x+4) = y
224/x = 336/(x+4)

896 + 224x = 336x
112x = 896
X = 8 answer choice B

We can also do it by backsolving.

Pick x = 8

224/8 = 28

Now 28 * 12 = 336

Posted from my mobile device
Intern
Joined: 13 Jan 2016
Posts: 9
Re: A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

09 Oct 2018, 21:13
[quote="Salsanousi"]Highway mileage = x + 4

224/x = y
336/(x+4) = y
224/x = 336/(x+4)

896 + 224x = 336x
112x = 896
X = 8 answer choice B

We can also do it by backsolving.

Pick x = 8

224/8 = 28

Now 28 * 12 = 336

Why are in first solution we putting them both equal to each other ?
Director
Joined: 19 Oct 2013
Posts: 509
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

09 Oct 2018, 22:01
1
Miles/ miles per gallon = gallon capacity (full tank)

If I find the capacity of the full tank and multiply it by by the miles/per gallon I get the total mileage per fill tank.

Since we are talking about the same truck then the gallon capacity must be the same.

I hope this is clear

Posted from my mobile device
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8789
Location: Pune, India
Re: A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

10 Oct 2018, 02:31
4
Bunuel wrote:
A truck traveled 336 miles per full tank of diesel on the national highway and 224 miles per full tank of diesel on the state highway. If the truck traveled 4 fewer miles per gallon on the state highway than on the national highway, how many miles per gallon did the truck travel on the state highway?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 15

The truck travelled 336 miles on national highway while only 224 miles on state highway on the full tank. This is a difference of 336 - 224 = 112 miles.
Per gallon, the truck travelled 4 fewer miles. So if it travelled 112 fewer miles, it means it had 112/4 = 28 gallons of fuel in it.

So miles per gallon on state highway = 224/28 = 8 miles/gallon
_________________

Karishma
Veritas Prep GMAT Instructor

VP
Joined: 09 Mar 2016
Posts: 1287
Re: A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

10 Oct 2018, 04:21
1
Bunuel wrote:
A truck traveled 336 miles per full tank of diesel on the national highway and 224 miles per full tank of diesel on the state highway. If the truck traveled 4 fewer miles per gallon on the state highway than on the national highway, how many miles per gallon did the truck travel on the state highway?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 15

national highway = x gallon per mile / total distance traveled 336

state highway = x-4 gallon per mile / total distance traveled 224

$$\frac{336}{x} = \frac{224}{x-4}$$ cross multiply

$$336(x-4) = 224x$$

$$336x-1344 = 224x$$

$$336x-224x = 1344$$

$$112x=1344$$

$$x =12$$

hence $$12-4 = 8$$
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4330
Location: India
GPA: 3.5
Re: A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

10 Oct 2018, 06:39
Bunuel wrote:
A truck traveled 336 miles per full tank of diesel on the national highway and 224 miles per full tank of diesel on the state highway. If the truck traveled 4 fewer miles per gallon on the state highway than on the national highway, how many miles per gallon did the truck travel on the state highway?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 15

$$\frac{336}{x} = \frac{224}{(x - 4)}$$

Now, use the options -

(A) 336/6 ≠ 224/2 => 56 ≠ 112
(B) 336/8 = 224/4 => 56 = 56, No need to go further Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Joined: 27 Feb 2018
Posts: 11
Re: A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

12 Oct 2018, 17:39
Bunuel wrote:
A truck traveled 336 miles per full tank of diesel on the national highway and 224 miles per full tank of diesel on the state highway. If the truck traveled 4 fewer miles per gallon on the state highway than on the national highway, how many miles per gallon did the truck travel on the state highway?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 15

The truck travelled 336 miles on national highway while only 224 miles on state highway on the full tank. This is a difference of 336 - 224 = 112 miles.
Per gallon, the truck travelled 4 fewer miles. So if it travelled 112 fewer miles, it means it had 112/4 = 28 gallons of fuel in it.

So miles per gallon on state highway = 224/28 = 8 miles/gallon

Hi Karishma, can you please help me understand why you use 224/28 to get 8 miles/gallon, please? Since 28 gallons is the amount of fuel the track left in the tank. Thank you in advance!
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4548
Location: United States (CA)
Re: A truck traveled 336 miles per full tank of diesel on the national hig  [#permalink]

### Show Tags

13 Oct 2018, 17:14
Bunuel wrote:
A truck traveled 336 miles per full tank of diesel on the national highway and 224 miles per full tank of diesel on the state highway. If the truck traveled 4 fewer miles per gallon on the state highway than on the national highway, how many miles per gallon did the truck travel on the state highway?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 15

Let x = the number of miles per gallon the truck traveled on the state highway, we can create the proportion:

336/(x + 4) = 224/x

336x = 224x + 896

112x = 896

x = 8

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A truck traveled 336 miles per full tank of diesel on the national hig &nbs [#permalink] 13 Oct 2018, 17:14
Display posts from previous: Sort by