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

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Manager
Joined: 29 Nov 2018
Posts: 102
Concentration: Marketing, Strategy
A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

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06 Feb 2019, 08:04
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(N/A)

Question Stats:

67% (02:34) correct 33% (02:45) wrong based on 3 sessions

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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: 150
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

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06 Feb 2019, 09:39
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!
Intern
Joined: 14 May 2018
Posts: 41
GMAT 1: 710 Q49 V38
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

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06 Feb 2019, 11:34
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
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GMAT:710 (Q49,V38,IR8,AWA5)

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Joined: 07 Dec 2014
Posts: 1156
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore  [#permalink]

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06 Feb 2019, 12:01
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
Re: A contractor undertakes to do a job in 20 days so he employs 36 labore   [#permalink] 06 Feb 2019, 12:01
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