Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 18 Jul 2019, 10:55

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Truck A gives an average of X miles per gallon of petrol while truck B

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Retired Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1435
Location: India
Truck A gives an average of X miles per gallon of petrol while truck B  [#permalink]

Show Tags

New post 13 Jul 2018, 10:59
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

57% (01:58) correct 43% (01:18) wrong based on 17 sessions

HideShow timer Statistics


Truck A gives an average of X miles per gallon of petrol while truck B gives an average of Y miles per gallon of petrol. Both trucks travelled from a city to another, covering a distance of 1500 miles each in this process. What is the difference in the number of gallons of petrol used by the two trucks, for this 1500 mile trip.

(1) X is 20% less than Y.

(2) Y - X = 5.
VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: Truck A gives an average of X miles per gallon of petrol while truck B  [#permalink]

Show Tags

New post 13 Jul 2018, 12:42
amanvermagmat wrote:
Truck A gives an average of X miles per gallon of petrol while truck B gives an average of Y miles per gallon of petrol. Both trucks travelled from a city to another, covering a distance of 1500 miles each in this process. What is the difference in the number of gallons of petrol used by the two trucks, for this 1500 mile trip.

(1) X is 20% less than Y.

(2) Y - X = 5.


Avg MPG=Total Miles driven/Total No of gallons used
No of gallons of Truck A used=Miles driven by A/MPG=\(\frac{1500}{X}\)
No of gallons of Truck B used=Miles driven by A/MPG=\(\frac{1500}{Y}\)
So, Difference in the number of gallons of petrol used by the two trucks=\(\frac{1500}{X}-\frac{1500}{Y}\)
St1:-X is 20% less than Y.
Or, X=Y(1-0.2)=0.8Y
One equation two variables, so, we can't determine X and Y. hence insufficient.
St2:-Y - X = 5
One equation two variables, so, we can't determine X and Y. hence insufficient.

Combining , we have,
X=0.8Y & Y - X = 5
So,we can determine X & Y, and subsequently the difference in nos. of gallons.

Ans. (C)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
RC Moderator
User avatar
V
Joined: 24 Aug 2016
Posts: 802
Location: Canada
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: Truck A gives an average of X miles per gallon of petrol while truck B  [#permalink]

Show Tags

New post 13 Jul 2018, 12:44
amanvermagmat wrote:
Truck A gives an average of X miles per gallon of petrol while truck B gives an average of Y miles per gallon of petrol. Both trucks travelled from a city to another, covering a distance of 1500 miles each in this process. What is the difference in the number of gallons of petrol used by the two trucks, for this 1500 mile trip.

(1) X is 20% less than Y.

(2) Y - X = 5.



According to the Q-stem : A uses 1500/X gallons of petrol & A uses 1500/Y gallons of petrol
Hence the difference in petrol used : 1500/X- 1500/Y =1500(1/X - 1/Y)= 1500{(Y-X)/XY} ........expression 1

Statement 1==> X is 20% less than Y => X=0.8Y Hence, expression 1 ==> 1500{(Y-0.8Y)/0.8Y*Y}........On simplification a factor of Y remains........Not Sufficient
Statement 2==>Y - X = 5 Hence, expression 1 ==> 1500*{5/X*(X+5)}=12.............................Not Sufficient

Statement 1 & 2==> Y=25 & X=20 ..... Thus in expression 1 ==>1500{(25-20)/25*20} ..............Sufficient ....... Hence I would go for option C.
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
GMAT Club Bot
Re: Truck A gives an average of X miles per gallon of petrol while truck B   [#permalink] 13 Jul 2018, 12:44
Display posts from previous: Sort by

Truck A gives an average of X miles per gallon of petrol while truck B

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne