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

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

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20 Apr 2020, 10:05
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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
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Joined: 11 Sep 2015
Posts: 4958
GMAT 1: 770 Q49 V46
Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

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30 Apr 2020, 08:47
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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
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##### General Discussion
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Joined: 07 Apr 2020
Posts: 44
To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

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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 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 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 _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com 225 Reviews 5-star 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 $Y additional for every hour after 1st 24 hrs Therefore, total cost: X + ( T-24)*Y => X+ (36-24)*Y => X + 12Y (Option A) Sloan MIT School Moderator Joined: 07 Mar 2019 Posts: 1287 Location: India GMAT 1: 580 Q43 V27 WE: Sales (Energy and Utilities) Re: To rent a tractor, it costs a total of x dollars for the first 24 hour [#permalink] ### Show Tags 22 Apr 2020, 08:21 In excess of hours means only 12 hours count for$y per hour. Hence
x + 12y

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

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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.
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Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

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22 Apr 2020, 18:05
A- x + 12y
x - cost for first 24 hours and y - cost per hour
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Re: To rent a tractor, it costs a total of x dollars for the first 24 hour  [#permalink]

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

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