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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

An express train traveled at an average speed of 100 [#permalink]

Show Tags

25 Nov 2007, 20:00

17

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

85% (hard)

Question Stats:

66% (04:17) correct
34% (03:10) wrong based on 382 sessions

HideShow timer Statistics

An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?

Re: An express train traveled at an average speed of 100 [#permalink]

Show Tags

26 Nov 2013, 06:49

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.
_________________

Re: An express train traveled at an average speed of 100 [#permalink]

Show Tags

28 Aug 2014, 06:38

ashkrs wrote:

An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?

a. 300 b. 305 c. 307.5 d. 1200 e. 1236

Soln:

we can do a guess work here to get to the right answer:

Train A total time taken to cover 600 km = 6hrs + 21mins Train B will take 50*6 should be more than 300 (to 400 max) kms (so a/d/e are gone)

so now b and C

how many stops for 50kmph in 6 hrs = 12 21- 12= 9 (odd number) ...answer should be in fraction

Re: An express train traveled at an average speed of 100 [#permalink]

Show Tags

04 Sep 2014, 13:21

hey,

why would we count the last stop for the express train? it has already traveled 600 km the instant it gets to the last stop. therefore, shouldn't the number of 3 minute breaks be 6 rather than 7?

And thus, the express train travels 600 km in (8 intervals of 75km)*(45 minutes) + (6 stops)*(3 minutes) = 378 minutes

Then, counting the last stop of the local train, because it will need to travel some additional amount to fill the remaining time: The time it takes the local train to travel 300km: (12 intervals of 25km)*(30 minutes) + (11 stops)*(1 minute) = 371 minutes Which leaves 7 minutes left over-- allowing the local train to travel an additional: (7 minutes/60 minutes)*(50 km/hour) = 5.83 km

Which adds up to 12*25 + 5.83 = 305.83km traveled by the local train...

why would we count the last stop for the express train? it has already traveled 600 km the instant it gets to the last stop. therefore, shouldn't the number of 3 minute breaks be 6 rather than 7?

And thus, the express train travels 600 km in (8 intervals of 75km)*(45 minutes) + (6 stops)*(3 minutes) = 378 minutes

Then, counting the last stop of the local train, because it will need to travel some additional amount to fill the remaining time: The time it takes the local train to travel 300km: (12 intervals of 25km)*(30 minutes) + (11 stops)*(1 minute) = 371 minutes Which leaves 7 minutes left over-- allowing the local train to travel an additional: (7 minutes/60 minutes)*(50 km/hour) = 5.83 km

Which adds up to 12*25 + 5.83 = 305.83km traveled by the local train...

At the end of 600 km, you have the 8th stop, not the 7th stop. That 8th stop has not been counted. Every 75 km, one stop. So after 150 km, you would have had 2 stops. So after 300 km, you would have had 4 stops and hence after 600 kms, 8 stops.

Also, the question is a little ambiguous. The train travels at an average speed of 100 km/hr does not specify whether the stops are a part of the time taken to calculate average speed or not. Better verbiage would be "a train runs at an average speed of 100 km/hr and then stops for 3 mins after 75 km" and so on...
_________________

Re: An express train traveled at an average speed of 100 [#permalink]

Show Tags

01 Aug 2015, 10:14

Express Train: 600 km --> 6 hours (since 100 km/h) + stops * 3 min. stops = 600 / 75 = 8, but as it is an integer number, the last stop in km 600 is not a real stop, so it would be 7 stops so, time= 6 hours + 7 * 3 min. = 6 hours 21 min

Local Train: in 6 hours, it will make 300 km (since its speed is 50 km/hour) in 300 km it will have 300 / 25 stops = 12, 12 stops 1 min each = 12 min we have 6 hours 12 min, but we need to calculate how many km can it make in 6 hours 21 min, so 21-12 = 9 min if 60 min it can make 50 km, 9 min it can make 7.5 km so, the distance is 300 + 7.5 = 307.5 km

Re: An express train traveled at an average speed of 100 [#permalink]

Show Tags

28 Mar 2016, 18:17

is there a faster way to solve this one? my approach: 600/100 = 6 hours without stops. 600/75 = 8, so it must have had 7 stops. 6*60+3*7 = 381 minutes.

the second train travels at 50 kmh in 360 min, it will travel 300 km. at every 25km, there will be a stop. so while travelling 300km, it will stop 300/25 = 12 full stops. so 12 minutes. we have 372 minutes to travel 300km. now..we need to know what distance the train will travel in the remaining 9 minutes.. 50/60 = 5/6 km/min. 5/6 * 9 = 15/2 = 7.5 so..the train travelled 300+7.5=307.5 km.

gmatclubot

Re: An express train traveled at an average speed of 100
[#permalink]
28 Mar 2016, 18:17

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...