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

It is currently 16 Nov 2018, 10:42

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.

Two cyclists are racing up a mountain at different constant

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

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 314
Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 21 Aug 2013, 17:08
8
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (01:40) correct 39% (02:05) wrong based on 369 sessions

HideShow timer Statistics

Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B.
(2) Cyclist A is moving 25% faster than cyclist B.

_________________

Asif vai.....

Manager
Manager
User avatar
B
Joined: 18 Dec 2012
Posts: 97
Location: India
Concentration: General Management, Strategy
GMAT 1: 660 Q49 V32
GMAT 2: 530 Q37 V25
GPA: 3.32
WE: Manufacturing and Production (Manufacturing)
GMAT ToolKit User
Re: Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 21 Aug 2013, 20:37
1
Answer is A
In 5 mins he could cover 250 meters. Hence he is 50 m/mins faster. So it will take 2 mins
_________________

I'm telling this because you don't get it. You think you get it which is not the same as actually getting it. Get it?

Senior Manager
Senior Manager
avatar
B
Joined: 24 Aug 2009
Posts: 472
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 21 Aug 2013, 21:13
2
Asifpirlo wrote:
Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B.
(2) Cyclist A is moving 25% faster than cyclist B.


The question basically asks the relative speed of A wrt B. This means that we don't need to find the individual speed of A & B


Statement 1
In 5 minutes A cycled 250 m more than the distance traveled by B.
In other words, Relative Speed of A is = 250/5 = 50m/min
Time to cover extra 100 m will be 2 Min
Thus Sufficient.

Statement 2
In 5 minutes A cycled 250 m more than the distance traveled by B.
Speed of A is 25% more than B's.
This option will give different answers depending on the speed of B.
Thus Insufficient.

Answer A
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50619
Re: Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 22 Aug 2013, 00:51
1
Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B. In 5 minutes A gained 200+50=250 meters --> 50 meters in 1 minute. To gain additional 100 meters he'll need 2 more minutes. Sufficient.

(2) Cyclist A is moving 25% faster than cyclist B. If both cyclist are very slow A'll need more minutes than if both cyclist are very fast. Not sufficient.

Answer: A.
_________________

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

Manager
Manager
avatar
Joined: 19 Nov 2014
Posts: 71
Location: India
Concentration: Technology, General Management
Schools: ISB '18
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge
Re: Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 18 Aug 2015, 09:26
I marked C but i do realize my mistake now . still sorry guys not able to understand your explanation 700+ problms distance/rate kills me

i was able to form the answer in some other way ;

let x be the distance travlled by B in those 5 min in which x got ahead .
Speed of A = A , Speed of B=B

distance travlled by A will 200m + 50m + x(distance by B ) = A * 5min ------ 1

distance by B = X = B * 5 min ------2

Subtract 2 from 1

250 + X - X = 5(A-B)

250/(A-B)=5min

so 250 distance will be covered in 5 min
so 150 can be done in 3 min
_________________

KUDOS pls if you like My Post

Intern
Intern
avatar
Joined: 12 Oct 2016
Posts: 3
Re: Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 08 Nov 2016, 16:16
Since both are moving at the same time wouldn't the actual speed be the sum of speed of A and the speed of B making the answer C

As it might take A 2 min but then B would have moved too
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 11 Nov 2016, 07:14
Asifpirlo wrote:
Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B.
(2) Cyclist A is moving 25% faster than cyclist B.


We are given that two cyclists are racing up a mountain at different constant rates and that cyclist A is now 50 meters ahead of cyclist B. We need to determine in how many minutes cyclist A be 150 meters ahead of cyclist B.

Statement One Alone:

5 minutes ago, cyclist A was 200 meters behind cyclist B.

Since we know that 5 minutes ago cyclist A was 200 meters behind cyclist B and that cyclist A is now 50 meters ahead of cyclist B, we can determine the “catch-up rate” of cyclist A. Since rate = distance/time, the catch up rate of cyclist A is: 250/5 = 50 meters per minute.

We now can determine how long it takes cyclist A to travel 150 meters ahead of cyclist B. Since cyclist A is now 50 meters ahead of cyclist B, we are determining how long it will take cyclist A to travel 100 meters farther than cyclist B.

Since time = distance/rate, it will take cyclist A 100/50 = 2 minutes to be 150 meters ahead of cyclist B. Statement one alone is sufficient to answer question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

Cyclist A is moving 25% faster than cyclist B.

Although we know that cyclist A is traveling 25% faster that cyclist B, we still cannot determine the “catch-up rate” of cyclist A and thus cannot determine in how many minutes cyclist A will be 150 meters ahead of cyclist. Statement two is not sufficient.

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Retired Moderator
User avatar
B
Joined: 05 Jul 2006
Posts: 1726
GMAT ToolKit User Premium Member
Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 29 Nov 2016, 05:08
Asifpirlo wrote:
Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B.
(2) Cyclist A is moving 25% faster than cyclist B.


We need either their individual speeds or their relative velocities in miles/minute

from 1

Speed of A - Speed of B = 250/5 = 50m/m thus with this relative velocity A will be ahead by an extra 100 m in 2 minutes... suff

from2

Speed of A = 1.25 speed of B thus relative velocity is 0.25 Speed of A ... no idea about actual speed of A ... insuff

A
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8786
Premium Member
Re: Two cyclists are racing up a mountain at different constant  [#permalink]

Show Tags

New post 14 Sep 2018, 01:00
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Two cyclists are racing up a mountain at different constant &nbs [#permalink] 14 Sep 2018, 01:00
Display posts from previous: Sort by

Two cyclists are racing up a mountain at different constant

  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®.