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

It is currently 15 Nov 2018, 11:04

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • GMATbuster's Weekly GMAT Quant Quiz # 9

     November 17, 2018

     November 17, 2018

     09:00 AM PST

     11:00 AM PST

    Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

A straight highway connects two cities P and Q, and goes via two check

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 2201
A straight highway connects two cities P and Q, and goes via two check  [#permalink]

Show Tags

New post Updated on: 13 Aug 2018, 05:12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (02:08) correct 44% (02:32) wrong based on 97 sessions

HideShow timer Statistics

Application of Average Speed in Distance problems - Exercise Question #1

A straight highway connects two cities P and Q, and goes via two checkpoints M and N, in that order. A bus started from P and moved to M at an average speed of 30 mph. After crossing M, it increased its speed to 50 mph and moved towards N. When it reached N, it further increased its speed to 60 mph and continued to move at this speed till it reached Q. What is the average speed of the bus throughout the whole journey?

    Statement 1: The ratio of time the bus took to cover the distances PM, MN, and NQ respectively is 2:1:3
    Statement 2: Out of the three distances, NQ is 3 times the distance PM and more than 3 times the distance MN

Option choices:
    A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
    B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
    C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
    D) EACH statement ALONE is sufficient.
    E) Statements (1) and (2) TOGETHER are NOT sufficient.



To solve question 2: Question 2

To read the article: Application of Average Speed in Distance problems

_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com


Originally posted by EgmatQuantExpert on 09 May 2018, 07:31.
Last edited by EgmatQuantExpert on 13 Aug 2018, 05:12, edited 5 times in total.
e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 2201
Re: A straight highway connects two cities P and Q, and goes via two check  [#permalink]

Show Tags

New post 09 May 2018, 07:32

Solution



Given:
• A straight highway connects two cities P and Q, and goes via two checkpoints M and N, in that order
• A bus started from P and moved to M at an average speed of 30 mph
• After crossing M, it increased its speed to 50 mph, towards N
• From N, it further increased its speed to 60 mph till it reached Q

To find:
• The average speed of the bus throughout the whole journey

Approach and Working:
The given scenario can be depicted using the following table:
Image

Let us assume that the distance between P and M is x, between M and N is y, and between N and Q is z.
Therefore, the average speed of the whole journey = (x + y + z) / (x/30 + y/50 + z/60)

Analysing Statement 1
• As per the information given in Statement 1, the ratio of time the bus took to cover the distances PM, MN, and NQ respectively is 2:1:3
    o Let us assume the time taken for the individual parts of the journey to be 2t, t, and 3t
• As we know the distances are x, y, and z respectively, we can say:
    o \(\frac{x}{30}\) = 2t or, x = 60t
    o \(\frac{y}{50}\) = t or, y = 50t
    o \(\frac{z}{60}\) = 3t or, z = 180t
• We can represent the present scenario as follows:
Image

• Therefore, the average speed = total distance travelled/ total time taken
    o Or, average speed = (x + y + z)/(2t + t + 3t) = (60t + 50t + 180t)/6t = \(\frac{290t}{6t} = \frac{145}{3}\) mph
• Hence, Statement 1 is sufficient to answer

Analysing Statement 2
• As per the information given in Statement 2, out of the three distances, NQ is 3 times the distance PM and more than 3 times the distance MN
    o Given that distance NQ is more than 3 times the distance MN, we cannot get any exact value of MN
• Hence, Statement 2 is not sufficient to answer

Hence, the correct answer is Option A.

Answer: A
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Manager
Manager
avatar
G
Joined: 28 Jul 2016
Posts: 135
Premium Member
Re: A straight highway connects two cities P and Q, and goes via two check  [#permalink]

Show Tags

New post 10 Jul 2018, 11:03
2
Please add official answer to timer, so ans A is counted as a correct answer
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50613
Re: A straight highway connects two cities P and Q, and goes via two check  [#permalink]

Show Tags

New post 10 Jul 2018, 13:01
GMAT Club Bot
Re: A straight highway connects two cities P and Q, and goes via two check &nbs [#permalink] 10 Jul 2018, 13:01
Display posts from previous: Sort by

A straight highway connects two cities P and Q, and goes via two check

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.