Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 01:38

### 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

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

# Ten theater students are to begin work on a set for a musical. Working

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56266
Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

07 Mar 2017, 11:30
1
4
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:34) correct 28% (01:40) wrong based on 95 sessions

### HideShow timer Statistics

Ten theater students are to begin work on a set for a musical. Working at a constant rate, they will finish the set in 60 days, but the director of the musical decides they need to finish in 50 days. How many more theater students, working at the same constant rate, must work to finish the set on time?

A. 2
B. 3
C. 5
D. 10
E. 12

_________________
Senior Manager
Joined: 24 Apr 2016
Posts: 327
Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

Updated on: 08 Mar 2017, 11:07
1
Let the Rate of 1 student = R

As per given information

10 * R * 60 = W (Total Work)
R=W/600

To complete the work in 50 days, lets say we need 'N' students working at the same rate

N*R*50 = W
replacing value of R above,
N*(W/600)*50 =W
Solving for N we get N=12

Originally posted by quantumliner on 07 Mar 2017, 12:05.
Last edited by quantumliner on 08 Mar 2017, 11:07, edited 1 time in total.
Director
Joined: 21 Mar 2016
Posts: 518
Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

Updated on: 08 Mar 2017, 04:59
2
the rate of each worker is 1/600
let the workers needed be N..

then N x (1/600) = 1/50

solving for N gives N= 12.

hence 12-10 = 2 more students required

ans A
thanks

Originally posted by mohshu on 07 Mar 2017, 22:23.
Last edited by mohshu on 08 Mar 2017, 04:59, edited 2 times in total.
Director
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 542
Location: India
Re: Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

08 Mar 2017, 02:27
let the amount of work be 3000
rate of work for 10 students = 3000/60 = 50
rate of work per student = 50/10 =5

now let x be the number of student to complete the work in 50 days
According to the question 3000 = (5x)*50
or x = 12

hence 2 more student will be required

option A
_________________
GMAT Mentors
Director
Joined: 06 Jan 2015
Posts: 680
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

08 Mar 2017, 09:26
1
Bunuel wrote:
Ten theater students are to begin work on a set for a musical. Working at a constant rate, they will finish the set in 60 days, but the director of the musical decides they need to finish in 50 days. How many more theater students, working at the same constant rate, must work to finish the set on time?

A. 2
B. 3
C. 5
D. 10
E. 12

Hi

M1D1H1/W1=M2D2H2/W2

M=Men
D=Days
H=hours
W=work

It is given that MensDays=10*60

In order to finish the work in 50 days we need 10+M

So 10*60=(10+M)*50

M=2

A
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

10 Mar 2017, 10:42
1
Bunuel wrote:
Ten theater students are to begin work on a set for a musical. Working at a constant rate, they will finish the set in 60 days, but the director of the musical decides they need to finish in 50 days. How many more theater students, working at the same constant rate, must work to finish the set on time?

A. 2
B. 3
C. 5
D. 10
E. 12

We are given that 10 theater students will finish a set in 60 days. Since rate = work/time, the rate of those students is 1/60 = 1/60. However, since the set needs to be completed in 50 days, we can create the following proportion to determine how many more students are needed to complete the job in 50 days:

10 students is to a rate of 1/60 as x students is to a rate of 1/50.

10/(1/60) = x/(1/50)

600 = 50x

12 = x

Thus, 2 more students will be needed to complete the set in 50 days.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 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.

Senior Manager
Joined: 04 Aug 2010
Posts: 434
Schools: Dartmouth College
Re: Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

22 Feb 2019, 12:41
Bunuel wrote:
Ten theater students are to begin work on a set for a musical. Working at a constant rate, they will finish the set in 60 days, but the director of the musical decides they need to finish in 50 days. How many more theater students, working at the same constant rate, must work to finish the set on time?

A. 2
B. 3
C. 5
D. 10
E. 12

$$\frac{50-days}{60-days}$$= $$\frac{5}{6}$$.
To finish the job in $$\frac{5}{6}$$ of the normal time, the crew requires $$\frac{6}{5}$$ of the normal number of students -- an increase of $$\frac{1}{5}$$:
$$(\frac{1}{5})(10) = 2$$ more students

_________________
GMAT and GRE Tutor
Over 1800 followers
GMATGuruNY@gmail.com
New York, NY
If you find one of my posts helpful, please take a moment to click on the "Kudos" icon.
Available for tutoring in NYC and long-distance.
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1727
Re: Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

22 Feb 2019, 15:17
The job requires 60*10 = 600 total days of work. So to do the job in 50 days, we need 12 people working simultaneously, or 2 extra people.
_________________
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
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14563
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

24 Feb 2019, 16:06
Hi All,

We're told that 10 theater students are to begin work on a set for a musical. Working at a constant rate, they will finish the set in 60 days, but the director of the musical decides they need to finish in 50 days. We're asked for the number of ADDITIONAL theater students we would need, working at the same constant rate, to finish the set on time. This question can be approached in a number of different ways, including by focusing on the 'total work' needed to complete the job.

In these types of situations, it often helps to start with the total work|output needed to complete the given task. Here, we would need 10 students who each work for 60 days...

(10 students)(60 days each) = 600 total days of student-work needed to complete the job

Thus, 1 student would 600/1 = 600 days
2 students would take 600/2 = 300 days each
3 students would take 600/3 = 200 days each
Etc.

We can actually use this same logic based on the total number of days...
600/50 = 12 students needed

Since we already have 10 students, we would need 2 additional students...

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Intern
Joined: 01 Jul 2018
Posts: 22
Re: Ten theater students are to begin work on a set for a musical. Working  [#permalink]

### Show Tags

03 Mar 2019, 09:26
W=R*T
10 students do 10 units of work (1u/student) 10=R*60 and R=1/6
now, keep same 10 u of work and keep same constant rate but lower t (t=50):
10=(1/6)*50 --> 10=8 (how many units are missing in the RHS to reach 10? 2 units. (2 units is equivalent to 2 students (see first assumption above)). Thus, we need 2 extra students.
Re: Ten theater students are to begin work on a set for a musical. Working   [#permalink] 03 Mar 2019, 09:26
Display posts from previous: Sort by