GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 01 Apr 2020, 04:19

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

A, B, and C each drove 100-mile legs of a 300-mile course at speeds of

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

Hide Tags

Find Similar Topics 
Retired Moderator
avatar
V
Joined: 21 Jun 2014
Posts: 1081
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User
A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 09 Nov 2018, 06:20
1
15
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (02:19) correct 23% (02:23) wrong based on 430 sessions

HideShow timer Statistics

A, B, and C each drove 100-mile legs of a 300-mile course at speeds of 40, 50, and 60 miles per hour, respectively. What fraction of the total time did A drive?

(A) 15/74
(B) 4/15
(C) 15/37
(D) 3/5
(E) 5/4

Project PS Butler : Question #07


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS

_________________
RC Moderator
User avatar
V
Joined: 24 Aug 2016
Posts: 785
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
GMAT ToolKit User Reviews Badge CAT Tests
A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 09 Nov 2018, 06:33
4
A's Time = \(\frac{100}{40} = \frac{10}{4}\)
Total time = \(\frac{100}{40} + \frac{100}{50} + \frac{100}{60} = \frac{10}{4} + \frac{10}{5} + \frac{10}{6} =\frac{(150+120+100)}{60}=\frac{370}{60} = \frac{37}{6}\)
Hence A's fraction = \(\frac{10}{4} * \frac{6}{37} =\frac{15}{37}\)
Hence Ans C.
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 506
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Re: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 09 Nov 2018, 06:43
2
HKD1710 wrote:
A, B, and C each drove 100-mile legs of a 300-mile course at speeds of 40, 50, and 60 miles per hour, respectively. What fraction of the total time did A drive?

(A) 15/74
(B) 4/15
(C) 15/37
(D) 3/5
(E) 5/4

Project PS Butler : Question #07


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS


Time for A = 100/40 = 10/4

Time for B = 100/50 = 10/5

Time for C = 100/60 = 10/6

10/4 + 10/5 + 10/6 = 150/60 + 120/60 + 100/60

= 370/60

Time for A of total = 150/60 / 370/60 = 150/370 = 15/37

Answer choice C

Posted from my mobile device
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4877
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 09 Nov 2018, 06:52
1
HKD1710 wrote:
A, B, and C each drove 100-mile legs of a 300-mile course at speeds of 40, 50, and 60 miles per hour, respectively. What fraction of the total time did A drive?

(A) 15/74
(B) 4/15
(C) 15/37
(D) 3/5
(E) 5/4

Project PS Butler : Question #07


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS


Let the each runner runs 600 miles...

So, Time taken by A is 15 ; Time taken by B is 12 & Time taken by C is 10

Thus, Total time taken is 15 + 12 + 10 = 37

Fraction of the total time did A drove is 15/37 , Answer must be (C)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1491
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 09 Nov 2018, 06:57
1
HKD1710 wrote:
A, B, and C each drove 100-mile legs of a 300-mile course at speeds of 40, 50, and 60 miles per hour, respectively. What fraction of the total time did A drive?

(A) 15/74
(B) 4/15
(C) 15/37
(D) 3/5
(E) 5/4

Project PS Butler : Question #07


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS



Useful Formula:

Distance / speed = time.

At first we must find out the total time.

100/ 40 + 100/50 + 100/60

= 5/2 + 2 + 5/3

= 37/6.

A's time = 5/2.

required fraction: (5/2) / (37/6) = 15/37.

The best answer is C.
VP
VP
User avatar
D
Joined: 09 Mar 2016
Posts: 1220
Re: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 09 Nov 2018, 08:23
HKD1710 wrote:
A, B, and C each drove 100-mile legs of a 300-mile course at speeds of 40, 50, and 60 miles per hour, respectively. What fraction of the total time did A drive?

(A) 15/74
(B) 4/15
(C) 15/37
(D) 3/5
(E) 5/4

Project PS Butler : Question #07


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS




A time 100/40 = 2.5 i.e 15/2

Total Time A+B+C= 2.5+6+5 = 18/5

15/2 / 18/5 = 15/37

:)
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9906
Location: United States (CA)
Re: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 12 Nov 2018, 07:20
HKD1710 wrote:
A, B, and C each drove 100-mile legs of a 300-mile course at speeds of 40, 50, and 60 miles per hour, respectively. What fraction of the total time did A drive?

(A) 15/74
(B) 4/15
(C) 15/37
(D) 3/5
(E) 5/4


Using time = distance/rate, we can create the following expression, where the numerator is the total time that A drove and the denominator is the total time driven by A, B, and C combined:

(100/40)/(100/40 + 100/50 + 100/60)

(5/2)/(5/2 + 2 + 5/3)

Multiplying by 6/6, we have:

15/(15 + 12 + 10) = 15/37

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
197 Reviews

5-star rated online GMAT quant
self study course

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.

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16326
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 13 Nov 2018, 11:11
Hi All,

We're told that A, B and C each drive 100-mile legs of a 300-mile course at speeds of 40, 50 and 60 miles per hour, respectively. We're asked what FRACTION of the total drive time did A drive. This question can be solved in a couple of different ways; there's actually a great 'ratio shortcut' that can help you to avoid most of the math.

Since Person A drove his 1/3 of the distance SLOWEST, we know that he drove MORE than 1/3 of the DRIVE TIME. The three speeds (40 mph, 50 mph and 60 mph) are close enough to one another that we know Person A did NOT drive "most" of the time though. Knowing those deductions, let's consider the 5 answers...

Answer A: 15/74 - this is closer to 1/5; TOO SMALL
Answer B: 4/15 - this is a little more than 1/4; TOO SMALL
Answer C: 15/37 - this is a little more than 1/3; MATCHES what we're looking for
Answer D: 3/5 - this is 60% of the total; TOO BIG
Answer E: 5/4 - this is above 100%; TOO BIG (and not mathematically possible)

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 ★★★★★
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14448
Re: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of  [#permalink]

Show Tags

New post 02 Dec 2019, 18:41
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: A, B, and C each drove 100-mile legs of a 300-mile course at speeds of   [#permalink] 02 Dec 2019, 18:41
Display posts from previous: Sort by

A, B, and C each drove 100-mile legs of a 300-mile course at speeds of

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





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