Author 
Message 
TAGS:

Hide Tags

Senior Manager
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
20 Apr 2020, 10:05
Question Stats:
80% (00:39) correct 20% (00:49) wrong based on 170 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
Official Answer and Stats are available only to registered users. Register/ Login.




GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4958
Location: Canada

Re: To rent a tractor, it costs a total of x dollars for the first 24 hour
[#permalink]
Show Tags
30 Apr 2020, 08:47
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 INPUTOUTPUT approach. The other posters above have solved the question algebraically, so let's use the INPUTOUTPUT approach. First, choose values for x and yLet's say x = 4 and y = 3In 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 40We'll now take each answer choice and plugin 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 40Answer: A Cheers, Brent
_________________
Test confidently with gmatprepnow.com




Intern
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
Updated on: 29 Apr 2020, 08:03
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
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
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
20 Apr 2020, 14:06
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
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
21 Apr 2020, 06:47
"... per hour for each hour in excess of 24 hours ..."
Answer: X + (36 24) Y = X + 12 Y



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 11043
Location: United States (CA)

Re: To rent a tractor, it costs a total of x dollars for the first 24 hour
[#permalink]
Show Tags
21 Apr 2020, 14:13
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
_________________
5star rated online GMAT quant self study course
See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews



Intern
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
22 Apr 2020, 05:13
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 + ( T24)*Y => X+ (3624)*Y => X + 12Y (Option A)



Sloan MIT School Moderator
Joined: 07 Mar 2019
Posts: 1287
Location: India
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
22 Apr 2020, 08:21
In excess of hours means only 12 hours count for $y per hour. Hence x + 12y Answer E.
_________________



Intern
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
22 Apr 2020, 08:26
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
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
22 Apr 2020, 18:05
A x + 12y x  cost for first 24 hours and y  cost per hour



Intern
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
02 Jun 2020, 07:52
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 Therefore answer is Option A
_________________
Founder Perfect Review http://www.perfectreview.co.in



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 5011
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: To rent a tractor, it costs a total of x dollars for the first 24 hour
[#permalink]
Show Tags
02 Jun 2020, 08:37
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)
_________________




Re: To rent a tractor, it costs a total of x dollars for the first 24 hour
[#permalink]
02 Jun 2020, 08:37




