Last visit was: 07 Sep 2024, 07:08 It is currently 07 Sep 2024, 07:08
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Trucking transportation rates are x dollars per metric ton per kilomet

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
HKD1710
Retired Moderator
Joined: 22 Jun 2014
Posts: 969
Own Kudos [?]: 4023 [17]
Given Kudos: 182
Location: India
Concentration: General Management, Technology
Schools: IIMB IIMA ISB PGP Pro '19
GMAT 1: 540 Q45 V20
GPA: 2.49
WE:Information Technology (Computer Software)
Send PM
GMAT ToolKit User
Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   21 Dec 2018, 08:37
1
Kudos
16
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

80% (01:14) correct 20% (01:42) wrong based on 528 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)\(\frac{x}{12n}\)
(B) \(\frac{x}{24n}\)
(C) \(\frac{xn}{24}\)
(D) \(12xn\)
(E) \(24xn\)
ShowHide Answer
Official Answer
E
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6046
Own Kudos [?]: 4818 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   21 Dec 2018, 09:30
HKD1710 wrote:
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)\(\frac{x}{12n}\)
(B) \(\frac{x}{24n}\)
(C) \(\frac{xn}{24}\)
(D) \(12xn\)
(E) \(24xn\)
 

Cost per truck = \($x / MT/Km\)

Cost of transporting 12 trucks for , 2 MT each for n miles is \(12*2*n*x = 24nx\), Thus Answer must be (E)­
User avatar
P
ocelot22
Manager
Manager
Joined: 16 Oct 2011
Posts: 170
Own Kudos [?]: 126 [2]
Given Kudos: 545
GMAT 1: 640 Q38 V40
GMAT 2: 650 Q44 V36
GMAT 3: 570 Q31 V38
GMAT 4: 720 Q49 V40
GPA: 3.75
Send PM
Reviews Badge
Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   21 Dec 2018, 10:29
2
Kudos
HKD1710 wrote:
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)\(\frac{x}{12n}\)
(B) \(\frac{x}{24n}\)
(C) \(\frac{xn}{24}\)
(D) \(12xn\)
(E) \(24xn\)
 

Let x = $1 Let n =100km Let x = $1 The then cost for 12 cars 2 metric tons each for 100 km at $1 per km = 12*2*1*100 = $2,400
E) 24XN = 24*1*100=$2,400­
User avatar
D
philipssonicare
Senior Manager
Senior Manager
Joined: 15 Feb 2018
Posts: 424
Own Kudos [?]: 387 [0]
Given Kudos: 2380
Send PM
Re: Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   26 Jan 2019, 21:45
I understand why the answer is E by using x·t·n
How to get to the multiplication using fractions? It's not in the format \(\frac{\frac{x}{t}}{n}\) nor \(\frac{x}{\frac{t}{n}}\)
User avatar
G
KanishkM
Director
Director
Joined: 09 Mar 2018
Posts: 775
Own Kudos [?]: 462 [0]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Send PM
Re: Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   26 Jan 2019, 22:20
HKD1710 wrote:
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)\(\frac{x}{12n}\)
(B) \(\frac{x}{24n}\)
(C) \(\frac{xn}{24}\)
(D) \(12xn\)
(E) \(24xn\)


I followed this approach

x dollars per metric ton per kilometer.

1 km = x dollars / MT

Now back solve this

n km = x n dollars /MT

1 MT = x n dollars

2 MT = 2 x n dollars

Above will be cost for 1 car

1 car = 2 x n dollars

12 car = 24 x * n dollars.
avatar
B
Getsome2
Intern
Intern
Joined: 14 Apr 2018
Posts: 13
Own Kudos [?]: 4 [0]
Given Kudos: 32
Send PM
Re: Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   24 Aug 2020, 14:34
philipssonicare

Not sure if you're still trying to track down the answer to your question but breaking down the problem can help, rather than trying to apply the concept of 'per' and write as a fraction

From the q stem we know it costs:
1) $x per one ton
2) $x per one km

Then we're also given that we need to transport 24 tons (12 x 2). So we know already its going to cost us 24x based on tons alone. Then from the breakdown above we can say 1 ton : 1 km. Therefore, we will need to multiply 24x by n (not divide) in order to derive the total cost because of the one to one relationship btw tons and kms
User avatar
B
Ahmed31
Intern
Intern
Joined: 02 Oct 2022
Posts: 18
Own Kudos [?]: 5 [0]
Given Kudos: 17
Send PM
Re: Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   19 May 2023, 09:53
HKD1710 wrote:
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)\(\frac{x}{12n}\)
(B) \(\frac{x}{24n}\)
(C) \(\frac{xn}{24}\)
(D) \(12xn\)
(E) \(24xn\)


Concept tested - Clarity of formulating Formula and Units

Total cost = Rate * No. of units.

If a truck carries a load of One metric ton for 1 km , it will charge = x dollars

Therefore, if it carries a load of (2X12) i.e 24 metric ton for n Kms , it will charge =>[ x (dollars)/(1ton)*(1km)]* 24 (ton) *n (Km)
Units( km and tons) will get cancelled , hence total cost = 24xn
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 34762
Own Kudos [?]: 876 [0]
Given Kudos: 0
Send PM
Re: Trucking transportation rates are x dollars per metric ton per kilomet [#permalink] Trucking transportation rates are x dollars per metric ton per kilomet   23 May 2024, 22:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: Trucking transportation rates are x dollars per metric ton per kilomet [#permalink]
23 May 2024, 22:59
Moderator:
Bunuel
Math Expert
95342 posts