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

 It is currently 18 Oct 2019, 00:06

### 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

# A contractor undertakes to do a job in 20 days so he employs 36 labore

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 29 Nov 2018
Posts: 280
Concentration: Marketing, Strategy
A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

### Show Tags

06 Feb 2019, 09:04
2
00:00

Difficulty:

25% (medium)

Question Stats:

78% (02:08) correct 22% (02:39) wrong based on 18 sessions

### HideShow timer Statistics

A contractor undertakes to do a job in 20 days so he employs 36 laborers. After 5 days he realizes that three-eleventh of the work is over. To finish the work exactly on time, how many more laborers does he need to employ or how many can he afford to fire?

A. Hire 4
B. Hire 32
C. Fire 4
D. Hire 32
E. Fire 16
Manager
Joined: 02 Aug 2015
Posts: 153
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

### Show Tags

06 Feb 2019, 10:39
cfc198 wrote:
A contractor undertakes to do a job in 20 days so he employs 36 laborers. After 5 days he realizes that three-eleventh of the work is over. To finish the work exactly on time, how many more laborers does he need to employ or how many can he afford to fire?

A. Hire 4
B. Hire 32
C. Fire 4
D. Hire 32
E. Fire 16

After 5 days he realizes that three-eleventh of the work is over = 5x36 = 180 worker days = 3/11th of work.
So remaining 8/11th of work = 480 worker days. We have 15 days remaining, so 15 days x 'n' workers = 480 worker days. So n=32.
Hence of the 36 workers, 4 of the workers can be fired. Hence C.

Cheers!
Manager
Joined: 14 May 2018
Posts: 96
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 710 Q49 V38
GPA: 4
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

### Show Tags

06 Feb 2019, 12:34
cfc198 wrote:
A contractor undertakes to do a job in 20 days so he employs 36 laborers. After 5 days he realizes that three-eleventh of the work is over. To finish the work exactly on time, how many more laborers does he need to employ or how many can he afford to fire?

A. Hire 4
B. Hire 32
C. Fire 4
D. Hire 32
E. Fire 16

One quick way to solve is-

25% days over, work done=27% approximately
==> needs to fire people, A,B,D re out

Now common sense says that out of C and E,C should be right because the gap between work needed to be done and number of days left is not too huge.

Therefore,C
_________________

GMAT:710 (Q49,V38,IR8,AWA5)
VP
Joined: 07 Dec 2014
Posts: 1222
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

### Show Tags

06 Feb 2019, 13:01
cfc198 wrote:
A contractor undertakes to do a job in 20 days so he employs 36 laborers. After 5 days he realizes that three-eleventh of the work is over. To finish the work exactly on time, how many more laborers does he need to employ or how many can he afford to fire?

A. Hire 4
B. Hire 32
C. Fire 4
D. Hire 32
E. Fire 16

if 36 laborers can complete 3/11 of work in in 5 days,
then they can complete 12/11 of the work in 20 days,
for an excess of 1/11
let rate=(3/11)/(5*36)=1/660
let w=number of excess workers
15w/660=1/11
w=4
Fire 4
C
Intern
Joined: 18 Jan 2019
Posts: 28
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

### Show Tags

21 Feb 2019, 01:38
Diwakar003 wrote:
cfc198 wrote:
A contractor undertakes to do a job in 20 days so he employs 36 laborers. After 5 days he realizes that three-eleventh of the work is over. To finish the work exactly on time, how many more laborers does he need to employ or how many can he afford to fire?

A. Hire 4
B. Hire 32
C. Fire 4
D. Hire 32
E. Fire 16

After 5 days he realizes that three-eleventh of the work is over = 5x36 = 180 worker days = 3/11th of work.
So remaining 8/11th of work = 480 worker days. We have 15 days remaining, so 15 days x 'n' workers = 480 worker days. So n=32.
Hence of the 36 workers, 4 of the workers can be fired. Hence C.

Cheers!

hello, can you please clarify where you got 480 worker days from, since 15*36 = 540
Manager
Joined: 02 Aug 2015
Posts: 153
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

### Show Tags

21 Feb 2019, 06:51
1
Ish1996 wrote:
Diwakar003 wrote:
cfc198 wrote:
A contractor undertakes to do a job in 20 days so he employs 36 laborers. After 5 days he realizes that three-eleventh of the work is over. To finish the work exactly on time, how many more laborers does he need to employ or how many can he afford to fire?

A. Hire 4
B. Hire 32
C. Fire 4
D. Hire 32
E. Fire 16

After 5 days he realizes that three-eleventh of the work is over = 5x36 = 180 worker days = 3/11th of work.
So remaining 8/11th of work = 480 worker days. We have 15 days remaining, so 15 days x 'n' workers = 480 worker days. So n=32.
Hence of the 36 workers, 4 of the workers can be fired. Hence C.

Cheers!

hello, can you please clarify where you got 480 worker days from, since 15*36 = 540

Hello Ish1996

3/11th of the work = 180 worker days.

Let the work be 'x'

(3/11) (x) = 180

x = 180 x (11/3) = 660

So (8/11) (x) = (8x660) / 11 = 480.

So 8/11th of the work = 480 worker days

Hope the post helps! Please feel free to let me know if your doubt is still not cleared.

Cheers!
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore   [#permalink] 21 Feb 2019, 06:51
Display posts from previous: Sort by