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40 skilled employees need 60 days to complete a project while working

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40 skilled employees need 60 days to complete a project while working  [#permalink]

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New post 26 Apr 2018, 12:16
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A
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Question Stats:

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40 skilled employees need 60 days to complete a project while working 8 hours a day. They begin working as per schedule but one month into the project, 30 employees need to shift to a different project. These 30 employees are replaced by 40 new employees who are 50% less productive. By approximately how many days will the project be delayed if the new team decides to work 10 hours a day?

A. No delay
B. 2 days
C. 5 days
D. 10 days
E. More than 10 days

Source: Experts Global

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40 skilled employees need 60 days to complete a project while working  [#permalink]

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New post 26 Apr 2018, 19:09
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Total units of work done = 40 * 60 * 8

Old team works for a month (30 days) --> Work remaining = 40 * 30 * 8

30 employees are replaced by 40 new employees who are 50% less productive --> We can say 30 employees are replaced by 20 employees with earlier caliber/productivity.

New team = 10 + 20 = 30

Number of hours worked by new team each day = 10 hrs

Days required for the new team to complete the remaining work = \(\frac{(40 * 30 * 8)}{(30 * 10)}\) = 32

Total number of days taken = 30 + 32 = 62, which is 2 more days than the earlier schedule of 60 days.

Answer: B
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Re: 40 skilled employees need 60 days to complete a project while working  [#permalink]

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New post 27 Apr 2018, 02:25
pushpitkc wrote:
40 skilled employees need 60 days to complete a project while working 8 hours a day. They begin working as per schedule but one month into the project, 30 employees need to shift to a different project. These 30 employees are replaced by 40 new employees who are 50% less productive. By approximately how many days will the project be delayed if the new team decides to work 10 hours a day?

A. No delay
B. 2 days
C. 5 days
D. 10 days
E. More than 10 days

Source: Experts Global

hi...

you can solve this qus. within 1 min. or less if you good in basics and if u have deep understanding of work time.

given that 40 man can do work in 60 days ...

given after days 30 of workers shift to different project and new 40 works joined with 50% less productive
so
we say 2 person will do work of one i.e. we say 20 workers joined with same productivity

now we have to find work per unit time per unit person i.e. speed
w/40*60*8
we multiply these with now 30 *10*x (now total person = 10 +20 , hours worked = 10 , days = x)
and equate with w/2 (because now w/2 work left)

(w/40*60*8) *30*10*x = w/2
we get x = 32
extra day = 32 -30 =2
ans B

above three lines is only require two solve rest are information only..
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40 skilled employees need 60 days to complete a project while working  [#permalink]

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New post 27 Apr 2018, 20:12
40 skilled employees need 60 days to complete a project while working 8 hours a day. They begin working as per schedule but one month into the project, 30 employees need to shift to a different project. These 30 employees are replaced by 40 new employees who are 50% less productive. By approximately how many days will the project be delayed if the new team decides to work 10 hours a day?


Total Project Effort - 40*60*8 = 19200 Hours
We know that project could be completed in 2 months

1st Schedule: 30 days
Total hours/2 = 9600 hours of task completed.

Changes:
30 Employees are replaced by 40 new employees who are 50% less productive. So we could consider 30 old employees replaced by 20 new employees.

Current staff- 30
Productivity increase by 2 hours = 10 hours / day

30 employees working 10 hours could complete = 300 hours of task/day

How many days needed to complete pending activities = 9600/300 = 32

Delay: 2 days

Ans:B
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Re: 40 skilled employees need 60 days to complete a project while working  [#permalink]

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New post 30 Apr 2018, 16:25
pushpitkc wrote:
40 skilled employees need 60 days to complete a project while working 8 hours a day. They begin working as per schedule but one month into the project, 30 employees need to shift to a different project. These 30 employees are replaced by 40 new employees who are 50% less productive. By approximately how many days will the project be delayed if the new team decides to work 10 hours a day?

A. No delay
B. 2 days
C. 5 days
D. 10 days
E. More than 10 days


The rate for the 40 skilled employees is 1/(60x8) = 1/480 job/hour.

So after 30 days half of the job has been completed.

Since 30 of them left after 30 days, the remaining 10 skilled employees will work at a rate that is 1/4 that of the 40 skilled employees, i.e., at a rate of 1/4 x 1/480 = 1/1,920 job/hour.

The 40 new less-productive employees who join in will work at a rate that is 1/2 of the 40 skilled employees, i.e., at at a rate of 1/2 x 1/480 = 1/960 job/hour.

Thus, the combined rate of the 10 original skilled employees and the 40 new less-productive employees is 1/1,920 + 1/960 = 3/1,920 = 1/640 job/hour.

We can let x = the number of days needed for the 50 (10 original and 40 new) employees to complete the remaining half of the job given that they are working 10 hours a day now. So we have:

(1/640)(10)(x) = 1/2

10x/640 = 1/2

x/64 = 1/2

x = 32

Recall that after half the job has been completed in 30 days, originally it would have taken 30 more days to finish the job, but now they need 32 more days. Thus, the project completion has been delayed by 2 days.

Alternate Solution:

40 skilled employees complete one month of work, which leaves another 60 - 30 = 30 days of work to be completed. Since they work for 8 hours a day, this makes 30 x 8 = 240 hours.

Since the new addition of workers are only half as productive as the skilled workers, we can think of these 40 new workers as equivalent to 20 skilled workers. Thus, after one month, we have (40 - 30) + 20 = 30 skilled workers.

Let’s set up an inverse proportion to determine the number of hours, call it t, needed for 30 skilled workers to complete a job that can be completed in 240 hours by 40 skilled workers.

(240)(40) = (t)(30)

t = (8)(40) = 320

Thus, the 30 skilled workers (which are in reality 10 skilled workers and 40 workers that are only half as productive) can complete the job in 320 hours. At 10 hours per day, this makes 320/10 = 32 days. Since the job would have been completed in 30 days by the 40 skilled workers, this substitution produces a delay of 32 - 30 = 2 days.

Answer: B
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Re: 40 skilled employees need 60 days to complete a project while working &nbs [#permalink] 30 Apr 2018, 16:25
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