Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Aug 2015, 13:06
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A train met with an accident 60km away from station A. It co

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 50 [0], given: 7

GMAT ToolKit User
A train met with an accident 60km away from station A. It co [#permalink] New post 18 Oct 2011, 06:37
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

64% (04:08) correct 36% (06:42) wrong based on 97 sessions
A train met with an accident 60km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?

A. 60 km/hr
B. 55 km/hr
C. 65 km/hr
D. 70 km/hr
E. 48 km/hr
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 Jul 2013, 13:09, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
4 KUDOS received
Manager
Manager
User avatar
Joined: 14 Mar 2011
Posts: 203
Followers: 6

Kudos [?]: 88 [4] , given: 21

Re: train speed [#permalink] New post 18 Oct 2011, 07:04
4
This post received
KUDOS
dreambeliever wrote:
A train met with an accident 60km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?

a. 60 km/hr
b. 55 km/hr
c. 65 km/hr
d. 70 km/hr
e. 48 km/hr



let the original speed be 6x. A/q, traveling 60 km at 5/6th of original speed costs him 12 minutes etc

60/5x =60/6x +12/60 -> x =10 , 6x= 60.

Ans A
Manager
Manager
avatar
Joined: 16 Sep 2011
Posts: 182
Concentration: Strategy, Operations
Schools: ISB '15
GMAT 1: 720 Q48 V40
GPA: 3.18
WE: Supply Chain Management (Manufacturing)
Followers: 13

Kudos [?]: 45 [0], given: 34

Reviews Badge
Re: train speed [#permalink] New post 18 Oct 2011, 08:10
My solution:
s=original spped, t=time taken in minutes to cover journey usually
(t+72-60/s)(5/6s)+60=(t+60-120/s)(5/6s)+120...........as total distance covered is same in both cases
solving, s=1 km/min=60km/hr
hence ans A
I know its too long.....but taking shortcuts was messing me up....
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5853
Location: Pune, India
Followers: 1479

Kudos [?]: 7944 [1] , given: 190

Re: train speed [#permalink] New post 18 Oct 2011, 11:15
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
dreambeliever wrote:
A train met with an accident 60km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?

a. 60 km/hr
b. 55 km/hr
c. 65 km/hr
d. 70 km/hr
e. 48 km/hr


The logical approach here is this:

The accident took place 60 km from A. The train was delayed by 1hr 12 min. If it had instead taken place 120 km from A, it would have been only 1 hr late. What does this 12 min gap in time signify? It is the delay caused by reducing the speed by (1/6)th over a distance of 60 km. The ratio of the speed over this 60 km stretch is 5:6 (speed reduced by a sixth : original speed)
Time taken 6:5 (Time taken with reduced speed : original time taken)
We know this difference of 1 in time taken is given by 12 min. So original time taken is 12*5 = 60 min = 1 hr
Time taken is 1 hr to cover a distance of 60 km so speed = 60 km/hr
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

1 KUDOS received
Current Student
avatar
Joined: 18 Jun 2010
Posts: 149
Followers: 0

Kudos [?]: 22 [1] , given: 2

Re: train speed [#permalink] New post 18 Oct 2011, 19:20
1
This post received
KUDOS
Agree with A but took too long to reach the solution:(
Intern
Intern
avatar
Joined: 03 Oct 2011
Posts: 25
Followers: 0

Kudos [?]: 6 [0], given: 7

Re: train speed [#permalink] New post 22 Oct 2011, 07:26
Let the original speed be v .

In case 2, the 60 kms further which the train traveled was with speed v.
In case 1, these 60 kms (which in case 2 the train traveled further where accident happened) was traveled at a speed of (5v)/6. And this caused the extra 12 mins delay in case 1.

So,

60/v +12/60=60/((5v)/6)
v=60
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 50 [0], given: 7

GMAT ToolKit User
Re: train speed [#permalink] New post 24 Oct 2011, 08:18
my sol. was just too lengthy..

let s be the original speed and x+60 be total distance between A and B:
60/s + x/(5s/6) = (x+60)/s + 72/60

Also, 120/s + (x-60)/(5s/6) = (x+60)/s + 1

subtracting the 2 equations: 60/s + 60/(5s/6) = 12/60
therefore s = 60.

thanks Everybody!!
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 6106
Followers: 340

Kudos [?]: 68 [0], given: 0

Premium Member
Re: A train met with an accident 60km away from station A. It co [#permalink] New post 14 Feb 2014, 01:36
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

Manager
Manager
User avatar
Joined: 03 Jan 2015
Posts: 68
Concentration: Strategy, Marketing
WE: Research (Pharmaceuticals and Biotech)
Followers: 0

Kudos [?]: 11 [0], given: 224

GMAT ToolKit User
Re: A train met with an accident 60km away from station A. It co [#permalink] New post 28 Jan 2015, 19:03
Hi all,

Can someone please help me think through this problem?

Given:
It arrives 1 hr 12 min late if the accident took 60 km further from A
It arrives 1 hr late if the accident took 120 km further from A

It implies:
the two "accident spots" are separated by 12 min and 60 km

Hence:
R = (60)*(60/12) = 300 kmph
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5853
Location: Pune, India
Followers: 1479

Kudos [?]: 7944 [1] , given: 190

Re: A train met with an accident 60km away from station A. It co [#permalink] New post 28 Jan 2015, 22:51
1
This post received
KUDOS
Expert's post
thorinoakenshield wrote:
Hi all,

Can someone please help me think through this problem?

Given:
It arrives 1 hr 12 min late if the accident took 60 km further from A
It arrives 1 hr late if the accident took 120 km further from A

It implies:
the two "accident spots" are separated by 12 min and 60 km

Hence:
R = (60)*(60/12) = 300 kmph


You are assuming that the train covered 60 km in 12 mins. That gives you the speed as 300 kmph. But is that really the case? 12 mins is the difference in the time taken to cover 60 kms at two different speeds. It is the delay caused by reducing the speed by (1/6)th over a distance of 60 km. The ratio of the speed over this 60 km stretch is 5:6 (speed reduced by a sixth : original speed)

Time taken 6:5 (Time taken with reduced speed : original time taken)

We know this difference of 1 in time taken is given by 12 min. So original time taken is 12*5 = 60 min = 1 hr

Time taken is 1 hr to cover a distance of 60 km so speed = 60 km/hr
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Re: A train met with an accident 60km away from station A. It co   [#permalink] 28 Jan 2015, 22:51
    Similar topics Author Replies Last post
Similar
Topics:
18 A train after traveling at 50kmph meets with an accident and then Blackbox 18 06 Dec 2014, 23:43
8 Experts publish their posts in the topic Trains A and B start simultaneously from stations 300 miles skamal7 9 16 Apr 2013, 05:58
10 Experts publish their posts in the topic The Z train leaves station A moving at a constant speed, and anon1 5 30 Oct 2012, 20:45
4 A train travels from station A to station B. If it travels Pansi 6 16 Sep 2012, 01:48
12 Experts publish their posts in the topic At 1:00 PM, Train X departed from Station A on the road to krazo 4 04 Oct 2010, 15:14
Display posts from previous: Sort by

A train met with an accident 60km away from station A. It co

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.