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Re: Elana was working to code protocols for computer processing. She did [#permalink]
Abhishek009 wrote:
SW4 wrote:
Elana was working to code protocols for computer processing. She did 11/18 of the job and allowed Andy to finish it. They both work at the same rate and receive the same hourly pay. If the difference between the amounts they were paid was $154, what was the total amount the two were paid for the entire coding job?

a) $252.00
b) $269.50
c) $369.00
d) $423.50
e) $693.00


Let the total work be 18
Elana completed 11 units
Andy completed 7 units

Quote:
the difference between the amounts they were paid was $154


The difference in pay is due to the fact that they completed different units of wok...

So, 4units diff ---- $154
Or, 1 unit diff ---- $\(\frac{154}{4}\)
And, 22 units ----- $\(\frac{154}{4}\)*18 = $693

Hence answer will be (E) $693


Where do you get the number 4?
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
Abhishek009 wrote:
SW4 wrote:
Elana was working to code protocols for computer processing. She did 11/18 of the job and allowed Andy to finish it. They both work at the same rate and receive the same hourly pay. If the difference between the amounts they were paid was $154, what was the total amount the two were paid for the entire coding job?

a) $252.00
b) $269.50
c) $369.00
d) $423.50
e) $693.00


Let the total work be 18
Elana completed 11 units
Andy completed 7 units

Quote:
the difference between the amounts they were paid was $154


The difference in pay is due to the fact that they completed different units of wok...

So, 4units diff ---- $154
Or, 1 unit diff ---- $\(\frac{154}{4}\)
And, 22 units ----- $\(\frac{154}{4}\)*18 = $693

Hence answer will be (E) $693


I guess there is a typo you used the correct value in calculation but in the highlighted part it should be 18 units instead of 22.
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
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SamsterZ wrote:
Abhishek009 wrote:
SW4 wrote:
Elana was working to code protocols for computer processing. She did 11/18 of the job and allowed Andy to finish it. They both work at the same rate and receive the same hourly pay. If the difference between the amounts they were paid was $154, what was the total amount the two were paid for the entire coding job?

a) $252.00
b) $269.50
c) $369.00
d) $423.50
e) $693.00


Let the total work be 18
Elana completed 11 units
Andy completed 7 units

Quote:
the difference between the amounts they were paid was $154


The difference in pay is due to the fact that they completed different units of wok...

So, 4units diff ---- $154
Or, 1 unit diff ---- $\(\frac{154}{4}\)
And, 22 units ----- $\(\frac{154}{4}\)*18 = $693

Hence answer will be (E) $693


Where do you get the number 4?


Lets say the complete job is equal to 1 out of which Elena did \(\frac{11}{18}\) of the job.

So, we know that Andy did 1-\(\frac{11}{18}\) of the job = \(\frac{7}{18}\)

We are given that the difference between their earning is $154 which is going to be difference in work into hourly pay.

Difference in work = \(\frac{11}{18}\) - \(\frac{7}{18}\) = \(\frac{4}{18}\)

HTH
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
gauravk wrote:

Lets say the complete job is equal to 1 out of which Elena did \(\frac{11}{18}\) of the job.

So, we know that Andy did 1-\(\frac{11}{18}\) of the job = \(\frac{7}{18}\)

We are given that the difference between their earning is $154 which is going to be difference in work into hourly pay.

Difference in work = \(\frac{11}{18}\) - \(\frac{7}{18}\) = \(\frac{4}{18}\)

HTH
'

Aah, I understand! Thank you for you explanation :)
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
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SamsterZ wrote:
Where do you get the number 4?

Its from here -
Attachment:
Capture.PNG
Capture.PNG [ 12.36 KiB | Viewed 5536 times ]

11 - 7 = 4
gauravk wrote:
I guess there is a typo you used the correct value in calculation but in the highlighted part it should be 18 units instead of 22.

Indeed it was a TYPO, I have edited my post...

I sincerely apologize for the same... :oops: :oops: :oops:
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
SW4 wrote:
Elana was working to code protocols for computer processing. She did 11/18 of the job and allowed Andy to finish it. They both work at the same rate and receive the same hourly pay. If the difference between the amounts they were paid was $154, what was the total amount the two were paid for the entire coding job?

a) $252.00
b) $269.50
c) $369.00
d) $423.50
e) $693.00


Well I am having some issues with this question...I guess I am misreading the question but not sure..I think we have to find the total wages given to both andy and elena according to the hours they have worked..

This is my approach

Elena did 11/18 of her work therefore the remaining work i.e. 7/18 was done by Andy.
Let x be their hourly wages (same for both as given in the question)
Difference in work =11/18-7/18=4/18
OR
Difference in time=18/4 hours
if x is the wage for one hour
then 18x/4 is the difference of wages for x hours which is given as $154 to us

=> 18x/4=154
x=308/9
TOTAL WAGES PAID WILL BE
(12/11 + 18/7)*309/9


PLEASE TELL ME WHERE I AM WRONG
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Elana was working to code protocols for computer processing. She did [#permalink]
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suramya26 wrote:
Well I am having some issues with this question...I guess I am misreading the question but not sure..I think we have to find the total wages given to both andy and elena according to the hours they have worked..

This is my approach

Elena did 11/18 of her work therefore the remaining work i.e. 7/18 was done by Andy.
Let x be their hourly wages (same for both as given in the question)
Difference in work =11/18-7/18=4/18
OR
Difference in time=18/4 hours
if x is the wage for one hour
then 18x/4 is the difference of wages for x hours which is given as $154 to us

=> 18x/4=154
x=308/9
TOTAL WAGES PAID WILL BE
(12/11 + 18/7)*309/9



PLEASE TELL ME WHERE I AM WRONG


Lets try -

SW4 wrote:
Elana was working to code protocols for computer processing. She did 11/18 of the job and allowed Andy to finish it. They both work at the same rate and receive the same hourly pay. If the difference between the amounts they were paid was $154, what was the total amount the two were paid for the entire coding job?


Let total work be 1

Elana did 11/18
Andy did 7/18

Thus share of wages will be in the ratio of work done by them....

Ratio of their work is as follows -

Elana : Andy = 11 : 7 and the total work is 18

Proportion of difference in work = Proportion of Difference in pay

So, 4 = $ 154

Or, 1 = $ 154/4

And Total pay = 154/4*18 => $ 693

Hence answer will be (E) $ 693


The wage difference is not with respect to time , correct approach will be with respect to work done.. ( Errorr is highlighted in red )

Further explanation as provide to you via PM

Wages/Salary can be of 2 types ( Something You will certainly admit ) -

1. Hourly Wage payment System ( Most White collar Jobs )
2. Unit of Work Done ( Most Blue collar Jobs )

Here it is given the part of job completed by A and B , both have diff efficiency..

Suppose total Work is 18 units

Efficiency of A = 11 and
Efficiency of B = 7

Now, tell me , whom will you give more money A or B ( According to the amount of work completed )

Certainly A !!!

Continuing with the same example -

Time Taken by A = 18/11 = 1.63 Hours
Time Taken by B = 18/7 = 2.57 Hours

Now, tell me , whom will you give more money A or B ???

B is inefficient , straightay, he takes more time to complete less amount of work than A...

Hence Hourly wage approach is not suited here, hope this helps..
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
Elena did 11/18 which means that Andrew did 7/18. They both earn the same hourly rate.

The difference between the work they did is 4/18. We know that 4/18 equals $154 because that is the difference in pay. Divide $154 by 4 so we can see how much 1/11th of the job is worth.

$154/4=$38.5

11*38.5=423.5 (Elena's portion)
7*38.5 =269.5 (Andrew's portion)
Total together is 693 or E
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
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Re: Elana was working to code protocols for computer processing. She did [#permalink]
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