GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Aug 2018, 22:54

### 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

# It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47920
It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you  [#permalink]

### Show Tags

02 Nov 2017, 02:39
00:00

Difficulty:

35% (medium)

Question Stats:

52% (01:50) correct 48% (01:01) wrong based on 43 sessions

### HideShow timer Statistics

It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you travel 200 kilometers, flying x kilometers of the distance and driving the rest, then the cost of the trip in dollars is

(A) 20
(B) 24
(C) 24 – 2x
(D) 24 – .02x
(E) 2,400 – 2x

_________________
Director
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you  [#permalink]

### Show Tags

02 Nov 2017, 04:32
Bunuel wrote:
It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you travel 200 kilometers, flying x kilometers of the distance and driving the rest, then the cost of the trip in dollars is

(A) 20
(B) 24
(C) 24 – 2x
(D) 24 – .02x
(E) 2,400 – 2x

¢(10*x + (200-x)*12)
¢(-2x + (2400)
\$(24-.02x)
D
_________________

We must try to achieve the best within us

Thanks
Luckisnoexcuse

Intern
Joined: 27 Oct 2017
Posts: 1
Re: It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you  [#permalink]

### Show Tags

02 Nov 2017, 08:04
10x + (200-x)12
10x + 2400 -12x
2400 - 2x

Sent from my Redmi Note 4 using GMAT Club Forum mobile app
Intern
Joined: 15 May 2017
Posts: 33
GMAT 1: 770 Q51 V45
Re: It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you  [#permalink]

### Show Tags

02 Nov 2017, 08:31
Bunuel wrote:
It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you travel 200 kilometers, flying x kilometers of the distance and driving the rest, then the cost of the trip in dollars is

(A) 20
(B) 24
(C) 24 – 2x
(D) 24 – .02x
(E) 2,400 – 2x

An alternate approach would be to model the question, if you don't know how to set up the algebra.

Pick an easy number for x, that is not an exact split (e.g. 100) or a number from the problem, such as 50.

If x = 50, then it costs 50 x .10 = \$5 for the flight portion of the trip.

Then, there are 200 - 50 = 150 kilometers left for the drive portion of the trip, so it costs 150 x .12 = \$18 for the drive portion of the trip.

Add the two values to find that when x = 50, the cost of the trip is \$23. Now, eliminate choices A and B, which are defined numeric values that do not equal \$23.

Then, plug in x = 50 into the remaining choices seeking one that yields \$23.

(C) 24 - 2(50) = -76 ; eliminate choice C
(D) 24 - .02(50) = 23 ; keep choice D
(E) 2,400 - 2x = 2,300 ; eliminate choice E

The correct answer is choice D.
_________________

M.S. Journalism, Northwestern University '09
Director of Online Tutoring, MyGuru
http://www.myguruedge.com

Find out more about online GMAT tutoring with MyGuru
http://www.myguruedge.com/gmat-prep/online-gmat-tutoring

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3161
Location: United States (CA)
Re: It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you  [#permalink]

### Show Tags

05 Nov 2017, 08:22
Bunuel wrote:
It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you travel 200 kilometers, flying x kilometers of the distance and driving the rest, then the cost of the trip in dollars is

(A) 20
(B) 24
(C) 24 – 2x
(D) 24 – .02x
(E) 2,400 – 2x

Since x kilometers represents the flying distance, (200 - x) kilometers represents the driving distance.

Thus, the cost was:

0.10x + 0.12(200 - x) = 0.10x + 24 - 0.12x = 24 - 0.02x

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: It costs 10¢ a kilometer to fly and 12¢ a kilometer to drive. If you &nbs [#permalink] 05 Nov 2017, 08:22
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.