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

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Joined: 07 Jun 2017
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Type A employees are 100% more productive than type B employees and ty [#permalink]

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New post 19 Oct 2017, 05:31
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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
[Reveal] Spoiler: OA

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

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New post 19 Oct 2017, 08:43
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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.

Answer B.

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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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