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

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

01 Dec 2012, 03:58

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

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Joined: 22 Dec 2011

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

01 Dec 2012, 04:55

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manukumar wrote:

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

Re: Work Problem - Need help on this. [#permalink] 01 Dec 2012, 04:55

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

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

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