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

It is currently 17 Oct 2018, 17:50

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

Cyclist M leaves point P at 12 noon and travels in a straight path at

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49968
Cyclist M leaves point P at 12 noon and travels in a straight path at  [#permalink]

Show Tags

New post 19 Sep 2018, 21:45
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (01:03) correct 6% (02:10) wrong based on 54 sessions

HideShow timer Statistics

Cyclist M leaves point P at 12 noon and travels in a straight path at a constant velocity of 20 miles per hour. Cyclist N leaves point P at 2 PM, travels the same path at a constant velocity, and overtakes M at 4 PM. What was the average speed of N?

(A) 15
(B) 24
(C) 30
(D) 35
(E) 40

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
B
Joined: 28 Jun 2018
Posts: 9
Re: Cyclist M leaves point P at 12 noon and travels in a straight path at  [#permalink]

Show Tags

New post 20 Sep 2018, 00:42
1
My guess would be E

By 2pm, cyclist M would be 40miles ahead of cyclist N.

By 4pm cyclist M would have travelled 80miles from point P.
At this time, cyclist M was overtaken by cyclist N

Average spd of cyclist n = 80miles/2hrs = 40miles/hr
CEO
CEO
User avatar
P
Joined: 08 Jul 2010
Posts: 2537
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: Cyclist M leaves point P at 12 noon and travels in a straight path at  [#permalink]

Show Tags

New post 20 Sep 2018, 04:24
Bunuel wrote:
Cyclist M leaves point P at 12 noon and travels in a straight path at a constant velocity of 20 miles per hour. Cyclist N leaves point P at 2 PM, travels the same path at a constant velocity, and overtakes M at 4 PM. What was the average speed of N?

(A) 15
(B) 24
(C) 30
(D) 35
(E) 40


From 12 to 2, Cyclist M travels alone 20 miles/hr i.e. he travels distance = 2*20 = 40 miles

Relative Distance between M and N at 2 PM = 40 miles

Speed of M = 20 and Speed of N = N

i.e. relative Speed for N to overtake M = N-20

Time taken by N to overtake M = 2 hours (from 2 to 4 PM)

Relative Distance = Relative Speed*Time

i.e. 40 = (N-20)*2

i.e. N = 40 miles per hours

Answer: Option E
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4094
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Cyclist M leaves point P at 12 noon and travels in a straight path at  [#permalink]

Show Tags

New post 20 Sep 2018, 08:05
Bunuel wrote:
Cyclist M leaves point P at 12 noon and travels in a straight path at a constant velocity of 20 miles per hour. Cyclist N leaves point P at 2 PM, travels the same path at a constant velocity, and overtakes M at 4 PM. What was the average speed of N?

(A) 15
(B) 24
(C) 30
(D) 35
(E) 40

Distance to be covered by M till 4 PM = 80 Miles

Now, P covers 80 miles starting at 2 PM and Completing it at 4 PM , so P travels 80 Miles in 2 Hours

Thus, Average distance traveled by P is 40 Miles/Hour, Answer must be (E)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Intern
avatar
B
Joined: 06 Feb 2017
Posts: 36
Location: India
Schools: HBS '22, HEC '22
GMAT 1: 570 Q39 V28
GMAT 2: 620 Q49 V26
GPA: 4
CAT Tests
Re: Cyclist M leaves point P at 12 noon and travels in a straight path at  [#permalink]

Show Tags

New post 21 Sep 2018, 02:10
There are two cyclists traveling along the same path.
One of them lets say cyclist A has a speed of 20 miles per hr and starts traveling at 12 PM
Another cyclist let us say B has a speed that we do not know and that is what is required by the question.
Cyclist B starts traveling along the same path as A but 2 hrs later than A i.e. at 2PM

Also at 4PM both cyclists travel the same distance from the starting point P.

Let us find out how much can cyclist A travel in 4 hrs, that would be 20∗4=8020∗4=80 miles
Since cyclist B started at 2PM and reached the exact distance as cyclist A at 4PM. Cyclist B traveled for 2 hrs only.
Therefore if Cyclist B speed was x miles per hr then 2x = 80
or, x=40x=40 which is the speed of cyclist B

So answer is E
_________________

I hope this helped. If this was indeed helpful, then you may say Thank You by giving a Kudos!

GMAT Club Bot
Re: Cyclist M leaves point P at 12 noon and travels in a straight path at &nbs [#permalink] 21 Sep 2018, 02:10
Display posts from previous: Sort by

Cyclist M leaves point P at 12 noon and travels in a straight path at

  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®.