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

It is currently 22 Jan 2019, 21:26

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

Two buses and a van were employed to transport a class of students on

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

Hide Tags

 
Manager
Manager
avatar
Joined: 06 Jun 2014
Posts: 89
Location: United States
Concentration: Finance, General Management
GMAT 1: 450 Q27 V21
GPA: 3.47
GMAT ToolKit User
Two buses and a van were employed to transport a class of students on  [#permalink]

Show Tags

New post 07 May 2015, 14:20
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (02:02) correct 12% (02:51) wrong based on 103 sessions

HideShow timer Statistics

Two buses and a van were employed to transport a class of students on a field trip. 3/5 of the class boarded the first bus. 2/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
a) 1/2
b) 2/3
c) 11/15
d) 23/30
e) 4/5

_________________

1) Kaplanprep 450 Q27 V21
2) Manhattan 530 Q35 V28
3) GmatPrep 450 Q33, V19
4) Veritas 460 Q31, V23
5) Veritas 440 Q 30, V21
6) Veritas 500 Q34, V 25
7) Gmat 420 Q27, V23
8) Veritas 520 Q36, V26 2/2
9) Veritas 540 Q37, V28 4/19
10)Manhattan 560 Q40, V28 4/28

GMAT Tutor
avatar
S
Joined: 24 Jun 2008
Posts: 1323
Re: Two buses and a van were employed to transport a class of students on  [#permalink]

Show Tags

New post 07 May 2015, 16:21
3
This is a pure ratio question (we aren't given any numbers for anything), so you can just choose any starting number you like, and use it to solve the problem. The best number to pick is almost always the product of all the denominators of your fractions, so here we could start with 30 students. Then we have:

• 3/5 of these, or 18 students, board the first bus
• there are 12 students left. 2/3 of these, or 8 students, board the second bus
• this bus breaks down, and 1/2 of the 8 students, or 4 students, board the first bus
• the first bus now contains 22 out of the original 30 students, so the answer is 22/30 = 11/15
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2458
Re: Two buses and a van were employed to transport a class of students on  [#permalink]

Show Tags

New post 08 May 2015, 01:54
1
Presenting the algebraic way of the solution

Given:
We are given that for a field trip \(\frac{3}{5}\) of the total students boarded the first bus and \(\frac{2}{3}\) of the remaining students boarded the second bus while the rest boarded the van. Also, when the second bus broke down \(\frac{1}{2}\) of the students on the second bus boarded the first bus. We are asked to find the ratio of final number of the students on the first bus to the total students.

Approach
Since, we need to find the ratio of two things, we have to express them in either constants or in the same terms. Since we don't have any information about the exact number of students we will try to express them in the same terms.

We are given relations between the total number of students and the students who boarded the buses and the van. We will use this relation to find out the required ratio.

Working Out
Let's assume total number of students to be \(x\).

Students who boarded the first bus = \(\frac{3x}{5}\)

Students who boarded the second bus = \(\frac{2}{3}\) of remaining students = \(\frac{2}{3}\) * (Total Students - Students who boarded the first bus) = \(\frac{2}{3}\) *( \(x- \frac{3x}{5}\)) = \(\frac{4x}{15}\)

We don't need to find the number of students who boarded the van as it is not being used anywhere.

No. of students of the second bus who boarded the first bus = \(\frac{1}{2} *(\frac{4x}{15}) = \frac{2x}{15}\)

Hence, total number of students in the first bus = original number of students in the first bus + students from second bus who boarded the first bus = \(\frac{3x}{5} + \frac{2x}{15} = \frac{11x}{15}\)

Now, we need to find the ratio of number of students in the first bus to that of the total students which can be written as \(\frac{11x}{15x} = \frac{11}{15}\) which is our answer.

Hope its clear!

Regards
Harsh
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: Two buses and a van were employed to transport a class of students on  [#permalink]

Show Tags

New post 29 Apr 2017, 08:03
zxcvbnmas wrote:
Two buses and a van were employed to transport a class of students on a field trip. 3/5 of the class boarded the first bus. 2/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
a) 1/2
b) 2/3
c) 11/15
d) 23/30
e) 4/5


We can let the total number of students = n.

(3/5)n students boarded the first bus and 2/3((2/5)n) = (4/15)n students boarded the second bus.
When the second bus broke down, 1/2 the students boarded the first bus. Thus:

1/2((4/15)n) = (2/15)n students from the second bus boarded the first bus.

So the first bus now has (3/5)n + (2/15)n = (9/15)n + (2/15)n = (11/15)n students.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: Two buses and a van were employed to transport a class of students on &nbs [#permalink] 29 Apr 2017, 08:03
Display posts from previous: Sort by

Two buses and a van were employed to transport a class of students on

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


Copyright

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®.