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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
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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: 4990
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
Intern
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: 732 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: 4 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: 11392 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 250 REVIEWS 5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE NOW WITH GMAT VERBAL (BETA) See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews Intern Joined: 08 Jan 2020 Posts: 7 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 $Y additional for every hour after 1st 24 hrs Therefore, total cost: X + ( T-24)*Y => X+ (36-24)*Y => X + 12Y (Option A) Sloan MIT School Moderator Joined: 07 Mar 2019 Posts: 1346 Location: India GMAT 1: 580 Q43 V27 WE: Sales (Energy and Utilities) Re: To rent a tractor, it costs a total of x dollars for the first 24 hour [#permalink] ### Show Tags 22 Apr 2020, 08:21 In excess of hours means only 12 hours count for$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