BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

A taxi charges d dollars for the first two miles and c cents

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2611
Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members
by BTGmoderatorLU » Fri Jun 29, 2018 4:52 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

A taxi charges d dollars for the first two miles and c cents per quarter mile for every mile after the first two miles. Which equation describes the cost of a taxi of n miles in dollars?

A. dn - c/8(100)
B. cd + 4n - 8/200
C. d + (4cn - 8c)/100
D. d + 100cn/4
E. 4cd(n - 2) - 100

The OA is C.

Please, can someone assist me with this PS question? I don't have it clear about how can I solve it. Thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members
Thanked: 6 times

by Vincen » Sat Jun 30, 2018 9:20 am
Hello BTGmoderatorLU.

Let's take a look at your question.

Here is what we know: a taxi charges:

- "d" dollars for the first two miles
- "c" cents per quarter mile for every mile after the first two miles.
- The trip was "n" miles long.

So, the miles after the first two is described by "n-2".

Now, "c" cents per quarter mile means that he charges 4c cents per mile after the first two miles.

Now, if we convert the last expression to dollars we get 4c/100.

So, the total charge for a "n" miles trip is

$$d+\frac{4c(n-2)}{100}=d+\frac{\left(4cn-8c\right)}{100}.$$

Hence, the correct answer is the option C.

I hope it helps. <i class="em em-smiley"></i>
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members
Location: New York, NY
Thanked: 39 times

by Jeff@TargetTestPrep » Wed Jul 25, 2018 4:47 pm
BTGmoderatorLU wrote:A taxi charges d dollars for the first two miles and c cents per quarter mile for every mile after the first two miles. Which equation describes the cost of a taxi of n miles in dollars?

A. dn - c/8(100)
B. cd + 4n - 8/200
C. d + (4cn - 8c)/100
D. d + 100cn/4
E. 4cd(n - 2) - 100
Since 1 mile has 4 quarter-miles, a trip of n miles has 4n quarter-miles, and after the first 2 miles that charges d dollars, there are 4n - 8 additional quarter-miles that charge c cents (or c/100 dollars) each. Thus, the total cost in dollars is:

d + (c/100)(4n - 8)

d + (4cn - 8c)/100

Answer: C

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
Location: Palo Alto, CA
Thanked: 2867 times
GMAT Score:800

by [email protected] » Thu Jul 26, 2018 11:15 am
Hi All,

We're told that a taxi charges D DOLLARS for the first 2 MILES and C CENTS per QUARTER-MILE for every mile after the first 2 miles. Which equation describes cost of a taxi ride of N miles in dollars. This question can be solved conceptually (with Algebra) or by TESTing VALUES.

IF....
D = 2 dollars
C = 3 cents
N = 3 miles

A 3-mile trip would cost 2 dollars (for the first 2 miles) + 3(4) = 12 cents for the 4 additional quarter-miles.
Total price (in dollars) = 2.12

Answer A: dn - c/8(100) = (2)(3) - 3/800 = 6 - 3/800 NOT a match

Answer B: cd + 4n-8/200 = (3)(2) + 4(3)/200 = 6 + 12/200 NOT a match

Answer C: d + (4cn-8c)/100 = 2 + (36 - 24)/100 = 2.12 This IS a MATCH

Answer D: d + 100cn/4 = 2 + 900/4 NOT a match

Answer E: 4cd(n-2) - 100 = 24(1) - 100 NOT a match

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1