GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 06 Jul 2020, 13:46 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # To rent a tractor, it costs a total of x dollars for the first 24 hour

Author Message
TAGS:

### Hide Tags

Senior Manager  P
Joined: 04 Sep 2017
Posts: 318
To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

### Show Tags

1
1
1 00:00

Difficulty:   5% (low)

Question Stats: 80% (00:39) correct 20% (00:49) wrong based on 169 sessions

### HideShow timer Statistics

To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

(A) x + 12y
(B) x + 36y
(C) 12x + y
(D) 24x + 12y
(E) 24x + 36y

PS30730.02
GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4955
GMAT 1: 770 Q49 V46
Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

### Show Tags

1
Top Contributor
gmatt1476 wrote:
To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

(A) x + 12y
(B) x + 36y
(C) 12x + y
(D) 24x + 12y
(E) 24x + 36y

PS30730.02

These kinds of questions (Variables in the Answer Choices - VIACs) can be answered algebraically or using the INPUT-OUTPUT approach.
The other posters above have solved the question algebraically, so let's use the INPUT-OUTPUT approach.

First, choose values for x and y
Let's say x = 4 and y = 3

In other words, to rent a tractor, it costs a total of 4 dollars for the first 24 hours, plus 3 dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

TOTAL cost = 4 dollars (for the first time for hours) + (12)(3 dollars) (for each of the 12 hours after the first 24 hours)
= 4 + 36
= 40 (dollars)

So, when x = 4 and y = 3, the answer to the question is 40 (dollars)
In other words, when we INPUT x = 4 and y = 3, the OUTPUT is 40

We'll now take each answer choice and plug-in x = 4 and y = 3.
The correct answer choice will be the one that evaluates to be 40

(A) 4 + 12(3) = 40 Great!
(B) 4 + 36(3) = 112. No good. We need an output of 40
(C) 12(4) + 3 = 51. No good. We need an output of 40
(D) 24(4) + 12(3) = 132. No good. We need an output of 40
(E) 24(4) + 36(3) = 204. No good. We need an output of 40

Cheers,
Brent
_________________
##### General Discussion
Intern  B
Joined: 07 Apr 2020
Posts: 44
To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

### Show Tags

gmatt1476 wrote:
To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

(A) x + 12y
(B) x + 36y
(C) 12x + y
(D) 24x + 12y
(E) 24x + 36y

PS30730.02

Cost for first 24 hours = $x… x is not per hour cost Cost for next 36 hours = 36*y…y is per hour cost Total cost = $$x + 36y$$ Answer: Option B Originally posted by Enchanting on 20 Apr 2020, 10:22. Last edited by Enchanting on 29 Apr 2020, 08:03, edited 1 time in total. Director  D Joined: 25 Jul 2018 Posts: 731 Re: To rent a tractor, it costs a total of x dollars for the first 24 hour [#permalink] ### Show Tags gmatt1476 wrote: To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours? (A) x + 12y (B) x + 36y (C) 12x + y (D) 24x + 12y (E) 24x + 36y PS30730.02 To rent a tractor for 36 hours: x dollars for the first 24 hours -----PLUS------------------------- y dollars per hour for each hours = 36y --> x + 36y Answer (B). Intern  B Joined: 28 Jan 2020 Posts: 3 Re: To rent a tractor, it costs a total of x dollars for the first 24 hour [#permalink] ### Show Tags "... per hour for each hour in excess of 24 hours ..." Answer: X + (36 -24) Y = X + 12 Y Target Test Prep Representative V Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 11042 Location: United States (CA) Re: To rent a tractor, it costs a total of x dollars for the first 24 hour [#permalink] ### Show Tags gmatt1476 wrote: To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours? (A) x + 12y (B) x + 36y (C) 12x + y (D) 24x + 12y (E) 24x + 36y PS30730.02 The cost to rent the tractor for 36 hours is: x + y(36 - 24) = x + 12y Answer: A _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews Intern  B Joined: 08 Jan 2020 Posts: 6 Re: To rent a tractor, it costs a total of x dollars for the first 24 hour [#permalink] ### Show Tags Given: 1. Total hours (T): 36 2.$X for 1st 24 hours and $Y additional for every hour after 1st 24 hrs Therefore, total cost: X + ( T-24)*Y => X+ (36-24)*Y => X + 12Y (Option A) Sloan MIT School Moderator V Joined: 07 Mar 2019 Posts: 1285 Location: India GMAT 1: 580 Q43 V27 WE: Sales (Energy and Utilities) Re: To rent a tractor, it costs a total of x dollars for the first 24 hour [#permalink] ### Show Tags In excess of hours means only 12 hours count for$y per hour. Hence
x + 12y

_________________
Intern  B
Joined: 11 Dec 2017
Posts: 21
Location: India
Concentration: Strategy, General Management
GPA: 2.88
WE: Consulting (Consulting)
Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

### Show Tags

gmatt1476 wrote:
To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

(A) x + 12y
(B) x + 36y
(C) 12x + y
(D) 24x + 12y
(E) 24x + 36y

PS30730.02

X Dollars for the first 24 hours. So, the cost to rent a tractor for the first 24 out of 36 is X.
Remaining hours = 12. Cost for these = Y/Hour.

There total cost = X+12Y.
Option A.
Intern  B
Joined: 18 Jun 2017
Posts: 27
Location: Mexico
Concentration: Technology, Strategy
Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

### Show Tags

A- x + 12y
x - cost for first 24 hours and y - cost per hour
Intern  B
Joined: 30 May 2020
Posts: 19
Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

### Show Tags

The cost for first 24 hours is \$x

Total rent time = 36 hours

Total amount spent for 36 hours = cost for first 24 hours + (cost for each additional hour)(36 - 24)
= x + 12y
_________________
Founder
Perfect Review
http://www.perfectreview.co.in
Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 5012
Location: India
GPA: 3.5
Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

### Show Tags

gmatt1476 wrote:
To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

(A) x + 12y
(B) x + 36y
(C) 12x + y
(D) 24x + 12y
(E) 24x + 36y

PS30730.02

For first 24 Hours cost is x
For next 12 Hours cost is 12y

So, Total cost is x + 12y, Answer must be (A)
_________________
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 ) Re: To rent a tractor, it costs a total of x dollars for the first 24 hour   [#permalink] 02 Jun 2020, 08:37

# To rent a tractor, it costs a total of x dollars for the first 24 hour  