It is currently 22 Feb 2018, 03:02

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

Events & Promotions in June
Open Detailed Calendar

Two trains are traveling on parallel tracks in the same direction. The

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43862
Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 06 Jan 2015, 07:02
Expert's post
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

78% (01:03) correct 22% (01:02) wrong based on 239 sessions

HideShow timer Statistics

Tough and Tricky questions: Distance/Rate Problems.



Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________

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

2 KUDOS received
Manager
Manager
User avatar
Joined: 22 Oct 2014
Posts: 88
Concentration: General Management, Sustainability
GMAT 1: 770 Q50 V45
GPA: 3.8
WE: General Management (Consulting)
Re: Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 06 Jan 2015, 07:22
2
This post received
KUDOS
Answer B.

The relative speed of the two trains is 30 miles per hour. If the faster train is 10 miles behind the slower one at 2 o'clock, it must be 90 miles further 3 hours later. That means, it is 80 miles ahead of the slower train at 5 o'clock.
_________________

\(\sqrt{-1}\) \(2^3\) \(\Sigma\) \(\pi\) ... and it was delicious!


Please consider giving +1 Kudos if deserved!

1 KUDOS received
Manager
Manager
avatar
Joined: 21 Aug 2010
Posts: 186
Location: United States
GMAT 1: 700 Q49 V35
GMAT ToolKit User
Re: Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 06 Jan 2015, 08:21
1
This post received
KUDOS
Bunuel wrote:

Tough and Tricky questions: Distance/Rate Problems.



Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.



In three hours faster train travels 390 miles
In three hours slower train travels 300 miles

since the faster train was 10 miles behind at the starting the distance between the trains at 5 o clock is 390-300-10 = 80

Ans B
_________________

-------------------------------------

3 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 06 Jan 2015, 21:54
3
This post received
KUDOS
1
This post was
BOOKMARKED
Answer = B. 80 miles

Relational speed = 130 - 100 = 30 miles per hour

In 3 hours, difference = 30 * 3 = 90 miles

Fast train trailing 10 miles, so effective difference = 90 - 10 = 80 miles
_________________

Kindly press "+1 Kudos" to appreciate :)

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 27 Oct 2013
Posts: 252
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 09 Jan 2015, 00:04
1
This post received
KUDOS
Relative Speed = 30
Distance Travel in 3 hours = 30*3 = 90
Already in-between distance = 10 miles

So the answer has to be 90-10 = 80miles
Option B
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43862
Re: Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 09 Jan 2015, 05:38
Bunuel wrote:

Tough and Tricky questions: Distance/Rate Problems.



Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.


OFFICIAL SOLUTION:

(B) The faster train is traveling 30 mph faster than the slower train. At 5 o'clock the faster train will travel 3 hours × 30 mph = 90 miles more than the slower one. Considering that it is 10 miles behind the slower train at 2 o’clock, it will be 90 – 10 = 80 miles ahead at 5 o’clock.

The correct answer is B.
_________________

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

1 KUDOS received
Manager
Manager
User avatar
B
Joined: 19 Jul 2017
Posts: 85
Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 06 Sep 2017, 03:54
1
This post received
KUDOS
Bunuel wrote:

Tough and Tricky questions: Distance/Rate Problems.



Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.


Relative speed is 30 miles per hr.

So at 2 o'clock Train F is 10 miles behind.
So in 3hrs it has to be 90 miles ahead consider relative speed of 30mph.
So at 5 it will be -10+90 = 80 miles ahead
Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2192
Location: United States (CA)
Re: Two trains are traveling on parallel tracks in the same direction. The [#permalink]

Show Tags

New post 11 Sep 2017, 09:58
Quote:

Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.


In 3 hours, the faster train has traveled 130 x 3 = 390 miles and the slower train has traveled 100 x 3 = 300 miles. Thus, after 3 hours, the faster train should be 90 miles ahead of the slower train. However, since at 2 o’clock the faster train is 10 miles behind the slower one, the faster train is only 90 - 10 = 80 miles ahead of the slower train.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: Two trains are traveling on parallel tracks in the same direction. The   [#permalink] 11 Sep 2017, 09:58
Display posts from previous: Sort by

Two trains are traveling on parallel tracks in the same direction. The

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.