Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 05 May 2016, 09:39

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A software programmer does 20% of the work in 80% of the

Author Message
TAGS:

### Hide Tags

Intern
Joined: 15 Nov 2012
Posts: 4
Location: United States
Concentration: General Management, Technology
GMAT Date: 12-05-2012
GPA: 3.82
Followers: 0

Kudos [?]: 7 [0], given: 3

A software programmer does 20% of the work in 80% of the [#permalink]

### Show Tags

01 Dec 2012, 03:58
2
This post was
BOOKMARKED
A software programmer does 20% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?

1) 13x/15
2) 7x/15
3) 7x/60
4) 2x/3
5) x/2
Senior Manager
Joined: 22 Dec 2011
Posts: 298
Followers: 3

Kudos [?]: 185 [3] , given: 32

Re: Work Problem - Need help on this. [#permalink]

### Show Tags

01 Dec 2012, 04:55
3
KUDOS
manukumar wrote:
A software programmer does 20% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?

1) 13x/15
2) 7x/15
3) 7x/60
4) 2x/3
5) x/2

Pick nos. Take x = 60
1st stage -> 20% of the work in 80% of the time
So 20% of 60 = 12
and 80% of 30 (nos of days) = 24
So he writes 12 lines of code in 1st 24 days

2nd stage -> 80% of the work in the remaining 20% of the time
so he writes 48 lines of code in last 6 days.

The 2 boldface are your rates.
In the last 14 days comprises of both the stages.
in the 1st 8 days he writes at the rate of$$\frac{12}{24} \frac{lines}{days}$$ so he writes 4 lines ( $$8 * \frac{12}{24}$$)
in the last 6 days he writes at the rate of$$\frac{48}{6}$$ lines / days so he writes 48 lines ($$6 *\frac{48}{6}$$)

totally he writes 52 lines. This is the final value / target value.
Substitute X = 60 and check which one results in 52.

Only option A gives 52 when x = 60.

Cheers
GMAT Club Legend
Joined: 01 Oct 2013
Posts: 7418
Followers: 699

Kudos [?]: 140 [0], given: 0

Re: A software programmer does 20% of the work in 80% of the [#permalink]

### Show Tags

22 Aug 2014, 04:16
Hello from the GMAT Club VerbalBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Manager
Joined: 21 Sep 2012
Posts: 219
Location: United States
Concentration: Finance, Economics
Schools: CBS '17
GPA: 4
WE: General Management (Consumer Products)
Followers: 3

Kudos [?]: 138 [0], given: 31

Re: A software programmer does 20% of the work in 80% of the [#permalink]

### Show Tags

22 Aug 2014, 07:08
Total work - x lines
Total time - 30 days

20% work done in 80% time... given
20% of work= x/5
80% of time=30*0.8=24 days
Therefore rate for first 24 days=(x/5)/24=x/120

We have been asked to compute work completed in last 2 weeks, i.e. last 14 days
Work done in last 14 days=Total work-work done in first 16 days
= x-[(x/120)*16]
= x-(2x/15)
= 13x/15
Ans= A
Intern
Joined: 30 May 2013
Posts: 2
WE: Consulting (Consulting)
Followers: 0

Kudos [?]: 6 [0], given: 20

A software programmer does 20% of the work in 80% of the [#permalink]

### Show Tags

25 Aug 2014, 11:56
This question can be answered without any computation.
As the 80% of work is done in the last 6 days( 20% of 30 days). Then the work done in the last 14 days must be more than 80% i.e. 4/5 (For the possible answer the numerator must be greater than half of the denimenator) and there are two possible options A (13x/15 ) and D (2x/3 ) Clearly D is just 66.67% and the obvious choice is answer choice A.

Or, if we want to kill some time and do the tedious job of computing, we can do the same as follows :
For first part, the time spent is is 80% of 30 days = 30*0.8 =24 days ( Here the programmer does 20% of the work (x) i.e. 1x/5)

For the second part, the time spent is 20% of 30 days= 30*0.2= 6 days ( Here the programmer does 80% of work (x) i.e. 4x/5)

Now lets see, what part of work the programmer does in last 14 days.

Last 14 days= 8 days + 6 days (last 6 days)
= [(1x/5)*(1/24)]*8 + 4x/5
=1x/15 +4x/5
=13x/15
GMAT Club Legend
Joined: 01 Oct 2013
Posts: 7418
Followers: 699

Kudos [?]: 140 [0], given: 0

Re: A software programmer does 20% of the work in 80% of the [#permalink]

### Show Tags

03 Sep 2015, 09:34
Hello from the GMAT Club VerbalBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Manager
Joined: 25 Feb 2014
Posts: 174
Location: United States
GMAT 1: 720 Q50 V38
GPA: 3.5
Followers: 3

Kudos [?]: 20 [0], given: 121

Re: A software programmer does 20% of the work in 80% of the [#permalink]

### Show Tags

03 Sep 2015, 12:51
Here is the pictorial representation of the situation:

Work = X Time = 30 days Last 15 days work
1) 20% = 1/5X 80% = 24 days 8 days of work = 24 days of work/3 = 1/3*1/5x = 1/15*x
2) 80% = 4/5X 20% = 6 days 6 days of work = 4/5*x

Last 15 days will be 8 days from the 1) and 6 days from 2) = (4/5+1/15)*x = 13/15*x
_________________

Consider KUDOS if my post helped

Re: A software programmer does 20% of the work in 80% of the   [#permalink] 03 Sep 2015, 12:51
Similar topics Replies Last post
Similar
Topics:
How does the CAT progress regards to the RC. Does it give 2 10 Nov 2009, 11:11
The Constitution of the United States does not explicitly 6 08 Sep 2009, 12:45
RC Software 5 27 Jul 2007, 02:00
How does the adaptive system work for RC in the real test? 1 01 Jan 2007, 17:44
while giving my gmatprep cat i realised the software does 0 24 Jun 2006, 13:57
Display posts from previous: Sort by