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

 It is currently 21 Oct 2019, 10:54 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

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.  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

Math Expert V
Joined: 02 Sep 2009
Posts: 58396
Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

2
3 00:00

Difficulty:   15% (low)

Question Stats: 83% (01:40) correct 17% (01:57) wrong based on 225 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.

_________________
Verbal Forum Moderator V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2402
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

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

_________________
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
SVP  B
Joined: 06 Nov 2014
Posts: 1873
Re: Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

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
Manager  B
Joined: 24 Aug 2016
Posts: 61
Location: India
WE: Information Technology (Computer Software)
Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

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  S
Joined: 03 Jan 2016
Posts: 57
Location: India
WE: Engineering (Energy and Utilities)
Re: Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

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

Show Tags

How did u get 8.20..isnt it 8.30?

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

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

VP  D
Status: Learning
Joined: 20 Dec 2015
Posts: 1009
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36 GRE 1: Q157 V157 GPA: 3.4
WE: Engineering (Manufacturing)
Re: Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

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 find my answers useful
Manager  S
Joined: 23 May 2017
Posts: 234
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

1
Attachment: FullSizeRender (7).jpg [ 85.75 KiB | Viewed 16428 times ]

Ans : E
_________________
If you like the post, please award me Kudos!! It motivates me
Target Test Prep Representative G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

3
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.

_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Director  S
Joined: 12 Nov 2016
Posts: 699
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

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
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4015
Train A and Train B began traveling towards each other from opposite  [#permalink]

Show Tags

Top Contributor
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 is a SHRINKING GAP question.

Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour,
35 mph + 25 mph = 60 mph
So, the gap CLOSES at a rate of 60 mph

Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM
We need to reduce the gap from 500 miles to 0 miles
In other words, we must close the gap a total of 500 miles

At what time did the trains meet?
time = distance/rate
= 500 miles/60 mph
= 50/6
= 25/3
= 8 1/3 hours
= 8 hours and 20 minutes

So, if the trains started at 1:00 pm, then the time the trains MET = 1:00 pm + (8 hours and 20 minutes)
= 9:20 pm

Cheers,
Brent
_________________ Train A and Train B began traveling towards each other from opposite   [#permalink] 28 Feb 2019, 06:56
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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  