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

It is currently 08 Dec 2019, 01:56

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

An automotive test consisted of driving a car the same distance three

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59588
An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post 12 Feb 2015, 07:13
2
6
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

62% (02:30) correct 38% (02:18) wrong based on 174 sessions

HideShow timer Statistics

An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 37 hours to complete, how many miles was the car driven during the entire test?

A. 400
B. 600
C. 1200
D. 1800
E. 2400


Kudos for a correct solution.

_________________
Manager
Manager
User avatar
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 73
GMAT ToolKit User
Re: An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post Updated on: 12 Feb 2015, 09:18
1
1
time= distance /speed

lets say distance is d
\(\frac{d}{40}+ \frac{d}{50}+ \frac{d}{60}\) = 37 hours

which gives d= 600

so total distance is 1800

Originally posted by ynaikavde on 12 Feb 2015, 07:22.
Last edited by ynaikavde on 12 Feb 2015, 09:18, edited 1 time in total.
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8288
Re: An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post 12 Feb 2015, 08:51
ans D 1800..
let x be the distance..
so time taken by three cars is x/40,x/50,x/60... total time taken= x/40+x/50+x/60=x*37/600 =37(given)
x=600... total =3x=1800...
_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59588
Re: An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post 16 Feb 2015, 06:26
Bunuel wrote:
An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 37 hours to complete, how many miles was the car driven during the entire test?

A. 400
B. 600
C. 1200
D. 1800
E. 2400


Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION

Correct Answer: D

Explanation: Solution: D If the distance for each drive is d, then the time for each drive is d divided by the rate for that drive. The sum of all the times is given: 37 hours. Therefore, d/40 + d/50 + d/60 = 37.

With a common denominator of 600, we can write this as 15d/600 + 12d/600 + 10d/600 = 37, and therefore 37d/600 = 37. This means that d = 600. All together the car was driven 3 times, so it was driven 1800 miles.
_________________
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15669
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post 22 Feb 2015, 23:04
1
Hi All,

This question (and its answers) are full of Number Property rules and patterns that you can take advantage of. It can easily be solved by TESTing THE ANSWERS.

We're told that a driving test drove the SAME distance at 3 different speeds: 40mph, 50mph and 60mph. We're also told that the TOTAL time for these 3 tests was 37 hours. We're asked for the TOTAL distance traveled.

To start, 37 hours EXACTLY is an interesting number. Given the speeds that we have to work with (and the total of 37 hours), we're probably NOT going to be dealing with fractions, so it's likely that we're looking for a distance that is a MULTIPLE of 40, 50 and 60. Also, IF we had driven the entire 37 hours at 40 mph (which we know that we didn't), we'd have gone OVER 1200 miles. Since some of that time was spent going 50mph and 60mph, the distance is clearly much GREATER than 1200 miles.

This leaves us with just 2 possible answer choices: D and E.

Let's TEST Answer D:
IF....
Total distance = 1800 miles, then each "leg" of the trip = 600 miles.

600 miles at 40mph = 15 hours
600 miles at 50mph = 12 hours
600 miles at 60mph = 10 hours
Total time = 15+12+10 = 37 hours.
This is a MATCH for what we were told.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1727
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post 24 Feb 2015, 21:35
Answer = D = 1800

Let the total distance covered = d

Its divided into 3 equal segments of d/3

Setting up the time equation

\(\frac{d}{40*3} + \frac{d}{50*3} + \frac{d}{60*3} = 37\)

d = 1800
Manager
Manager
avatar
S
Joined: 17 Aug 2015
Posts: 97
GMAT ToolKit User
Re: An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post 26 Jan 2017, 22:39
The question is fairly a simple one. However, I see a trap answer of B. This is trapping those who fall into a classic mistake pattern - READ THE QUESTION and then KEEPING TRACK.

The question asks for a total distance that is driven and not the distance for each trip , which is a constant. If we are solving for
37 = d/40+d/50+d/60, then we get d = 600. Forgetting to track what the question asked will lead us to B. The question asks for 3*d = 1800.

I have made that same error. I understand that if we were not making timing decisions along the test wisely, we may be tempted to make an error. The test is taking advantage right there!
Be careful guys :)
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13724
Re: An automotive test consisted of driving a car the same distance three  [#permalink]

Show Tags

New post 26 Nov 2019, 08:42
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 Club Bot
Re: An automotive test consisted of driving a car the same distance three   [#permalink] 26 Nov 2019, 08:42
Display posts from previous: Sort by

An automotive test consisted of driving a car the same distance three

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





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