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) $ 693The 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 PMWages/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..