• EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer

A bug is traveling between 2 points so that the distance...

This topic has 2 expert replies and 0 member replies

A bug is traveling between 2 points so that the distance...

Post
A bug is traveling between 2 points so that the distance it travels every day is half of the distance it traveled the day before. If the distance between the 2 points is 14 units, how much should it travel on the first day in order to reach its destination in 3 days?

A. 4
B. 14/3
C. 6
D. 7
E. 8

The OA is E.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
Hi swerve,

We're told that a bug is traveling between 2 points so that the distance it travels every day is HALF of the distance it traveled the day before and that the distance between the 2 points is 14 units. We're asked how far the bug should travel on the first day in order to reach its destination in 3 days. This question can be solved by TESTing THE ANSWERS.

Let's TEST Answer D: 7 units
IF... the bug travels 7 units on the 1st day, then...
the bug travels 3.5 units on the 2nd day and...
the bug travels 1.75 units on the 3rd day.

7+3.5 + 1.75 = 12.25 units. This distance is TOO SMALL - meaning that bug has to travel FARTHER on the first day to hit 14 total units in three days. There's only one answer that fits....

Final Answer: E

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag
Post
swerve wrote:
A bug is traveling between 2 points so that the distance it travels every day is half of the distance it traveled the day before. If the distance between the 2 points is 14 units, how much should it travel on the first day in order to reach its destination in 3 days?

A. 4
B. 14/3
C. 6
D. 7
E. 8
We can let x = the distance the bug travels on the first day.

Day 1 = x

Day 2 = (1/2)x

Day 3 = (1/2)(1/2)x = (1/4)x

We can create the following equation:

x + (1/2)x + (1/4)x = 14

Multiplying the entire equation by 4, we have:

4x + 2x + x = 56

7x = 56

x = 8

Answer: E

_________________
Scott Woodbury-Stewart Founder and CEO

  • +1 Upvote Post
  • Quote
  • Flag

Top First Responders*

1 Jay@ManhattanReview 81 first replies
2 Brent@GMATPrepNow 71 first replies
3 fskilnik 55 first replies
4 GMATGuruNY 37 first replies
5 Rich.C@EMPOWERgma... 16 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description fskilnik

GMAT Teacher

202 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

163 posts
3 image description Scott@TargetTestPrep

Target Test Prep

118 posts
4 image description Jay@ManhattanReview

Manhattan Review

94 posts
5 image description Max@Math Revolution

Math Revolution

94 posts
See More Top Beat The GMAT Experts