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

It is currently 16 Jul 2018, 21:08

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

Train A and Train B began traveling towards each other from opposite

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

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47026
Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 21 Feb 2016, 13:58
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (00:59) correct 19% (01:07) wrong based on 220 sessions

HideShow timer Statistics

Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM. If Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?

A. 5:40 PM
B. 6:00 PM
C. 7:20 PM
D. 8:00 PM
E. 9:20 PM

Kudos for correct solution.

_________________

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
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2076
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 21 Feb 2016, 20:33
1
3
Distance = 500 mile
Speed of train A = 35 miles per hour
Speed of train B = 25 miles per hour
Relative speed of both trains
= 35+ 25
=60 miles per hour
Time = Distance / Speed
= 500/60
=8 hours and 20 mins

Since the trains started at 1 PM , they will meet at 9:20 PM

Answer E
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Expert Post
2 KUDOS received
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1888
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 21 Feb 2016, 21:43
2
Bunuel wrote:
Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM. If Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?

A. 5:40 PM
B. 6:00 PM
C. 7:20 PM
D. 8:00 PM
E. 9:20 PM

Kudos for correct solution.


This question tests your concepts of relative speed:
If two trains are moving in opposite direction, then distance will reduce at a rate of (Speed of 1 + Speed of 2)
If two trains are moving in same direction, then distance will reduce at a rate of (Speed of 1 - Speed of 2)

Here the trains are moving towards each other, hence in opposite direction.
Trains will cover the 500 mile track in a time of 500/(25 + 35) = 500/60 = 8 hours and 20 minutes.

Trains started at 1:00 PM, there they will meet at 9:20 PM
Option E
1 KUDOS received
Manager
Manager
User avatar
B
Joined: 24 Aug 2016
Posts: 68
Location: India
WE: Information Technology (Computer Software)
Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 12 Sep 2016, 23:54
1
Suppose trains meet at x distance from the start. Train A have to cover x Miles and train B have to cover 500-x = Miles.

Lets assume trains meet after time t hours.

distance = Speed * Time.

For train A: x = 35 * t
For train B: 500-x = 25 * t ==> ( Substitute value of x from above) 500- ( 35 * t ) = 25 * t ==> 500 = 60 t ==> t = 8\(\frac{2}{6}\) => 8 hours 20 minutes.

Ansswer --> E
_________________

"If we hit that bullseye, the rest of the dominos will fall like a house of cards. Checkmate."

Manager
Manager
avatar
S
Joined: 03 Jan 2016
Posts: 59
Location: India
WE: Engineering (Energy and Utilities)
GMAT ToolKit User
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 18 Mar 2017, 21:42
Lets say that the Trains will meet each other after Time T.
Therefore, Dist Traveled by A + Distance Traveled by B = 500 m.
35T + 25T = 500m.
T = 8.3 Hours.
Trains will meet @ 01:00pm + 08:30 Hrs = 09:20 PM

Narayana raju
Intern
Intern
avatar
B
Joined: 08 Sep 2016
Posts: 32
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 08 Jun 2017, 23:24
How did u get 8.20..isnt it 8.30?

Please explain..i seem to have truble following Time-Distance questions.

Thanks in advance!




Skywalker18 wrote:
Distance = 500 mile
Speed of train A = 35 miles per hour
Speed of train B = 25 miles per hour
Relative speed of both trains
= 35+ 25
=60 miles per hour
Time = Distance / Speed
= 500/60
=8 hours and 20 mins

Since the trains started at 1 PM , they will meet at 9:20 PM

Answer E
VP
VP
User avatar
P
Status: Learning
Joined: 20 Dec 2015
Posts: 1197
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Manufacturing and Production (Manufacturing)
Reviews Badge CAT Tests
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 09 Jun 2017, 11:19
Imo E
They are traveling in opposite direction then relative speed is 60
Total distance to be covered is 500 miles
Thus hours 500/60 8 hours and 20 min


Sent from my ONE E1003 using GMAT Club Forum mobile app
_________________

Please give kudos if you found my answers useful

Manager
Manager
User avatar
S
Joined: 23 May 2017
Posts: 226
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
CAT Tests
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 09 Jun 2017, 11:46
Attachment:
FullSizeRender (7).jpg
FullSizeRender (7).jpg [ 85.75 KiB | Viewed 6338 times ]


Ans : E
_________________

If you like the post, please award me Kudos!! It motivates me

Expert Post
2 KUDOS received
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2669
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 13 Jun 2017, 12:16
2
Bunuel wrote:
Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM. If Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?

A. 5:40 PM
B. 6:00 PM
C. 7:20 PM
D. 8:00 PM
E. 9:20 PM


We are given that Trains A and B traveled toward each other at 1 p.m. and that Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour. We are also given that they started 500 miles apart.

We can let the time of each train = t hours. Thus, the distance of Train A is 35t and the distance of Train B is 25t.

Let’s create the following equation to determine t:

distance of Train A + distance of Train B = total distance

35t + 25t = 500

60t = 500

t = 500/60 = 50/6 = 25/3 = 8 ⅓ hours = 8 hours and 20 minutes.

Thus, the trains met at 1 p.m. + 8 hours and 20 minutes = 9:20 p.m.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

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

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 774
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: Train A and Train B began traveling towards each other from opposite [#permalink]

Show Tags

New post 13 Aug 2017, 13:45
Bunuel wrote:
Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM. If Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?

A. 5:40 PM
B. 6:00 PM
C. 7:20 PM
D. 8:00 PM
E. 9:20 PM

Kudos for correct solution.


So one thing we can notice about this question- is that the answer can't be an integer because if both trains start at the same time then how can we multiply the rates by an integer time and have the same distance when one is greater than the other? For example 35 x some integer cannot equal 25 times the same integer. Secondly, this question requires us to make an approximation so it is an approximation and opposite ends question and the formula for opposite ends is

Distance 1 + Distance 2 = Total Distnce

Distance A =35 (t) - we assume they start at the same time unless told oetherwise

Distance B= 25(t)

35(t) +25(t) =500
60t= 500
500/60= 8.33333

so this should be

E
Re: Train A and Train B began traveling towards each other from opposite   [#permalink] 13 Aug 2017, 13:45
Display posts from previous: Sort by

Train A and Train B began traveling towards each other from opposite

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

Events & Promotions

PREV
NEXT


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®.