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

It is currently 21 Aug 2018, 23:04

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

During a trip, Yogi Bear traveled 62.5% of the total distance at an

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

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 15 Sep 2011
Posts: 342
Location: United States
WE: Corporate Finance (Manufacturing)
GMAT ToolKit User
During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post Updated on: 17 Aug 2015, 02:22
8
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

75% (05:04) correct 25% (02:30) wrong based on 89 sessions

HideShow timer Statistics

During a trip, Yogi Bear traveled 62.5% of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of \(x\) miles per hour. In terms of \(x\), what was Yogi Bear's average speed for the entire trip?

A. \(\frac{{320x}}{{3+200x}}\)

B. \(\frac{{x+80}}{{120x}}\)

C. \(\frac{{320x}}{{5x+120}}\)

D. \(\frac{{320x+5}}{{200x}}\)

E. \(\frac{{120x}}{{x+80}}\)


Again, from OG 13 with different conditions.

Originally posted by mejia401 on 09 Aug 2015, 15:41.
Last edited by Bunuel on 17 Aug 2015, 02:22, edited 4 times in total.
RENAMED THE TOPIC.
Manager
Manager
avatar
B
Status: single
Joined: 19 Jan 2015
Posts: 91
Location: India
GPA: 3.2
WE: Sales (Pharmaceuticals and Biotech)
Premium Member
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 09 Aug 2015, 20:42
2
1
I think question have some discrepancy.
the answer for the question is 320x/5x+120.

So, the given option C is 320x/3x+200. It happens only first 62.5% distance covered for xmiles/hour and remaining distance 37.5%
covered by 40 miles/hours.

Average speed of first distance m covered for phours and remaining distance n covered for q hours.
given by the formula.

= (m+n)pq/mq+np.

from given question is

= m+n= 100% distance


=40x/67.5%*x+37.5%*40

=40x/5x/8+15

=320x/5x+120.


suppose there is interchange in distance or speed then
=40x/3x/8+25=320x/3x+200
Senior Manager
Senior Manager
avatar
Joined: 15 Sep 2011
Posts: 342
Location: United States
WE: Corporate Finance (Manufacturing)
GMAT ToolKit User
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 10 Aug 2015, 03:03
Corrected. Thank you.
Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2643
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 10 Aug 2015, 05:26
1
1
mejia401 wrote:
During a trip, Yogi Bear traveled 62.5% of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of \(x\) miles per hour. In terms of \(x\), what was Yogi Bear's average speed for the entire trip?

A. \(\frac{{320x}}{{3+200x}}\)

B. \(\frac{{x+80}}{{120x}}\)

C. \(\frac{{320x}}{{5x+120}}\)

D. \(\frac{{320x+5}}{{200x}}\)

E. \(\frac{{120x}}{{x+80}}\)


Again, from OG 13 with different conditions.


The fastest way is to assume x = 1 and then see which of the options satisfy this.

Average speed = \(\frac{d}{\frac{0.625}{40}+\frac{0.375}{x}}\)= 2.56.

Only option C gives this value and is thus the correct answer.
SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2139
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 10 Aug 2015, 06:10
mejia401 wrote:
During a trip, Yogi Bear traveled 62.5% of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of \(x\) miles per hour. In terms of \(x\), what was Yogi Bear's average speed for the entire trip?

A. \(\frac{{320x}}{{3+200x}}\)

B. \(\frac{{x+80}}{{120x}}\)

C. \(\frac{{320x}}{{5x+120}}\)

D. \(\frac{{320x+5}}{{200x}}\)

E. \(\frac{{120x}}{{x+80}}\)


Again, from OG 13 with different conditions.


I prefer to take Numbers in Such questions to make the expressions simpler

e.g. Let Distance = 1000
i.e. 62.5% of Distance = 625

Average Speed = Total Distance / Total Time

Total Distance Covered = 1000

Total Time = Time taken to cover 625 miles @40 miles/hr +Time taken to cover (1000-625) = 375 miles @x miles/hr

Total Time = (625/40)+(375/x)

i.e. Average Speed = 1000/ [(625/40)+(375/x)] = \(\frac{{320x}}{{5x+120}}\)

Answer: Option C
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Manager
Manager
avatar
Joined: 08 May 2015
Posts: 100
GMAT 1: 630 Q39 V38
GMAT 2: 670 Q44 V38
GMAT 3: 750 Q49 V44
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 11 Aug 2015, 15:19
The easiest way would be to chose 40mph for the rest of the trip, but this leaves you with option C and E. On the test day I would probably go with the 50/50 chance because of the time.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 48117
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 16 Aug 2015, 17:02
mejia401 wrote:
During a trip, Yogi Bear traveled 62.5% of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of \(x\) miles per hour. In terms of \(x\), what was Yogi Bear's average speed for the entire trip?

A. \(\frac{{320x}}{{3+200x}}\)

B. \(\frac{{x+80}}{{120x}}\)

C. \(\frac{{320x}}{{5x+120}}\)

D. \(\frac{{320x+5}}{{200x}}\)

E. \(\frac{{120x}}{{x+80}}\)


Again, from OG 13 with different conditions.


Similar question to practice: during-a-trip-francine-traveled-x-percent-of-the-total-94933.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1069
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 16 Aug 2015, 20:31
Why are you not reducing 320x/5x+120 to 64x/x+24? My teacher would have marked this wrong.
Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2643
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 16 Aug 2015, 20:36
gracie wrote:
Why are you not reducing 320x/5x+120 to 64x/x+24? My teacher would have marked this wrong.


You are correct and it's a good habit to have . Whenever you want to report an answer in fractions, you should be reducing both the numerator and denominator. But if the options do not have anything reduced, then you do not have to. You can not challenge the options provided and you have to play within the confines of the question statement and the options provided.
Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 598
Schools: Cambridge'16
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 16 Aug 2015, 21:49
got 40x/0.625x+15 after multiplying by 8/8 get = 320x/5x+120

C
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2717
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 07 Feb 2016, 10:18
mejia401 wrote:
During a trip, Yogi Bear traveled 62.5% of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of \(x\) miles per hour. In terms of \(x\), what was Yogi Bear's average speed for the entire trip?

A. \(\frac{{320x}}{{3+200x}}\)

B. \(\frac{{x+80}}{{120x}}\)

C. \(\frac{{320x}}{{5x+120}}\)

D. \(\frac{{320x+5}}{{200x}}\)

E. \(\frac{{120x}}{{x+80}}\)


Again, from OG 13 with different conditions.



I find it somehow strange that the answer choice is not written is the most simplified form!!!


62.5% can be rewritten as 5/8

so we have 5d/8 - distance, and 40 mph - speed.
we then have = 3d/8 - distance, and x mph - speed.

to find the average speed, we need to find the total time.

time for first leg: 5d/8 * 1/40 = d/64
time for second leg: 3d/8 * 1/x = 3d/8x

total time: d/64 + 3d/8 | multiply first by x, second by 8.
(xd+24d)/64x
factor d in the numerator:
d(x+24)/64x
is the total time.
total distance = d.

to find the average speed, divide distance by time.

d*64x / d(x+24)

simplify by D

64x/(x+24).
right away, we can eliminate B and D.
let's multiply what we have by 5.
320x/(5x+120).

still don't get why the answer wouldn't be in the most simplified way.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7782
Premium Member
Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an  [#permalink]

Show Tags

New post 28 Jul 2018, 04:32
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

Re: During a trip, Yogi Bear traveled 62.5% of the total distance at an &nbs [#permalink] 28 Jul 2018, 04:32
Display posts from previous: Sort by

During a trip, Yogi Bear traveled 62.5% of the total distance at an

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

Events & Promotions

PREV
NEXT


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

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

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®.