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# Type A employees are 100% more productive than type B employees and ty

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Manager
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Type A employees are 100% more productive than type B employees and ty [#permalink]

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19 Oct 2017, 05:31
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00:00

Difficulty:

65% (hard)

Question Stats:

65% (02:42) correct 35% (03:04) wrong based on 65 sessions

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Type A employees are 100% more productive than type B employees and type B employees are 100% more productive than
type C employees. If 30 type A employees need to work for six hours a day, for 50 days to complete a project, how long will it
take a team of 80 type B employees and 80 type C employees to complete the same project if they work ten hours a day?

A. 10
B. 15
C. 20
D. 30
E. 60

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Director
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 664
Location: India
GPA: 3.64
Type A employees are 100% more productive than type B employees and ty [#permalink]

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19 Oct 2017, 08:43
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3
A employees are 100% more productive than B employees and B employees are 100% more productive than C employees.
No. of hours required by A to complete the work = 30*6*50=9000 hrs
No. of hours required by B to complete the work = 2*9000 = 18000 hrs
No. of hours required by C to complete the work = 2*18000 = 36000 hrs (Since the productivity of the employees are as given)
Work done by B in 1 hr = $$\frac{1}{18000}$$
Work done by C in 1 hr =$$\frac{1}{36000}$$
80 employees of B and C work for 10 hrs a day, work done in each day by B and C employees=$$\frac{80*10*1}{18000}$$+$$\frac{80*10*1}{36000}$$
=$$\frac{8}{180}$$+$$\frac{8}{360}$$=$$\frac{24}{360}$$=$$\frac{1}{15}$$
Hence they will require 15 days.

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Type A employees are 100% more productive than type B employees and ty   [#permalink] 19 Oct 2017, 08:43
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# Type A employees are 100% more productive than type B employees and ty

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