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# A process manager in a plant wishes to decrease the hours logged by hi

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2033
Location: Pakistan
GPA: 3.39
A process manager in a plant wishes to decrease the hours logged by hi  [#permalink]

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27 Mar 2017, 11:30
1
00:00

Difficulty:

15% (low)

Question Stats:

85% (01:38) correct 15% (01:32) wrong based on 39 sessions

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A process manager in a plant wishes to decrease the hours logged by his workforce by 20%, while still retaining the exact same production. If all of the workers in the workforce produce at the same constant rate, by what percent would the workforce need to increase its production?

A. 10%
B. 20%
C. 25%
D. 33 %
E. 50%

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Senior Manager
Joined: 24 Apr 2016
Posts: 331
Re: A process manager in a plant wishes to decrease the hours logged by hi  [#permalink]

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27 Mar 2017, 12:43
Let,

Original hours Logged: 100x
Original Productivity: P

Target Hours : 80x
Target Productivity: T

As Production Remains same, 100x * P = 80x * T

T/P = 100x/80x = 5/4

percent by which the workforce need to increase its production = [T-P/P] * 100 = [5-4/4]* 100 = 25%
VP
Joined: 07 Dec 2014
Posts: 1151
Re: A process manager in a plant wishes to decrease the hours logged by hi  [#permalink]

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27 Mar 2017, 13:48
1
A process manager in a plant wishes to decrease the hours logged by his workforce by 20%, while still retaining the exact same production. If all of the workers in the workforce produce at the same constant rate, by what percent would the workforce need to increase its production?

A. 10%
B. 20%
C. 25%
D. 33 %
E. 50%

current time to produce 1 unit=t
current rate=1/t
desired time to produce 1 unit=.8t
required rate=1/.8t
rate increase=(1/.8t)/(1/t)=1.25=25%
C
Re: A process manager in a plant wishes to decrease the hours logged by hi &nbs [#permalink] 27 Mar 2017, 13:48
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