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

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Re: Work Problems  [#permalink]

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New post 19 Nov 2013, 09:03
VeritasPrepKarishma wrote:
shuwa 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?

A) 13x /15

B) 15x/15

C) 7x/15

D) 2x/30

E) 13x/30


Another thing you might want to note here is that he does 80% of the work in the last 20% of time i.e. in last 6 days. So the work he does in last 14 days is more than 4X/5 but less than X. Only option (A) lies in this range.


Agree with Mrs. Karishma. I just realized quickly that it had to be >80% and only A fits the bill

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

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New post 29 Mar 2014, 03:46
Another approach:

t=time, w=work

Then

0.2w --> 0.8t
0.8w --> 0.2t

w=X and t=30

Substituting, we get

0.2X --> 24 Days
0.8X --> 6 Days

Last 2 weeks = 14 days = 8+6 days= 0.8X + Work done in previous 8 days
= 13X/15
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Re: A software programmer does 20% of the work in 80% of the  [#permalink]

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New post 02 Jun 2016, 08:56
vivatran 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?

A. 13x /15
B. 15x/15
C. 7x/15
D. 2x/30
E. 13x/30


Total time= 30 days

Dividing the time in 80:20, we get 24 : 6 days

Dividing X work in 20:80, we get .2x: .8x work

So he does .2x work in 24 days and .8x work in 6 days

To calculate total work done in last two weeks, we need- Work done in last 6 days + work done in last 8 days

Work done in last 6 days is .8x

work done in last 8 days is .2x/24 *8 (as he does constant work)= .2x/3

Total work done= .2x/3 +.8x= 13x/15
A is the answer
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Re: A software programmer does 20% of the work in 80% of the time, and 80%  [#permalink]

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New post 25 Oct 2016, 00:27
Bunuel 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, what fraction of the work did he complete in the last two weeks, in terms of X?

A. 13x/15
B. 7x/15
C. 7x/60
D. 2x/3
E. x/2


Total Work = X lines

20% Total Work = (20/100)X = X/5 lines
80% Total Work = (80/100)X = 4X/5 lines


20% Total Time = (20/100)30 = 6 Days
80% Total Time = (80/100)30 = 24 Days

Last two weeks = 2*7 = 14 days

Amount of work done done in last 6 of these 14 days = 80% Total Work = 4X/5 Lines
Amount of work done done in First 8 of these 14 days = (8/24)*(X/5 lines) = X/15 Lines

Total Work done in last 14 days = (4X/5) +(X/15) Lines = 13X/15 Lines

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

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New post 16 Nov 2016, 09:36
vivatran 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?

A. 13x /15
B. 15x/15
C. 7x/15
D. 2x/30
E. 13x/30


I had the same approach as VeritasPrepKarishma had.

we can easily eliminate B, C, D, and E right away.

in the last 6 days, he did 80% of the job. therefore, in last 2 weeks, he finished more than 80% of the work.
B = X, or 100% - CLEARLY not
C = slightly more than 50%. 9x/15 = 3x/5 = 60%. but this is way more than 7x/15
D = way too small
E = way too small


now..to verify
we know that in first 24 days, he did x/5 work. each day, he did x/120 work. in 8 days, he did 8x/120 work, or 4x/60 or x/15.
in last 6 days, he did 4x/5 work.
total work done in last 2 weeks:
4x/5 + x/15
multiply first one by 3:
12x/15 + x/15 = 13x/15

answer is A.

I believe it should be a sub-600 level question, if the answer choices are not changed so that to not eliminate incorrect ones so easy.
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Re: A software programmer does 20% of the work in 80% of the  [#permalink]

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New post 24 Sep 2018, 09:46
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Re: A software programmer does 20% of the work in 80% of the &nbs [#permalink] 24 Sep 2018, 09:46

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