SOLUTION: I have been in my job for 1/4 of my life. I asked myself how long it would be until I had been in my job for 1/3 of my life. I don't know how to set this up. I have asked thi

Algebra.Com
Question 360383: I have been in my job for 1/4 of my life. I asked myself how long it would be until I had been in my job for 1/3 of my life.
I don't know how to set this up. I have asked this question before and got the answer of 1/12. I don't think this is correct because it is not taking into account the time added to your life.
EX: been working for 6 out of 24 total years. 1/12 of 24 is 2, and 8/24 is 1/3 but in the problem we need to add the 1/12 to your age also. 8/26 is not 1/3. Could someone please help me and explain how to set this problem up so that the years of work and your age increase by the same amount.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I have been in my job for 1/4 of my life. I asked myself how long it would be until I had been in my job for 1/3 of my life.
I don't know how to set this up. I have asked this question before and got the answer of 1/12. I don't think this is correct because it is not taking into account the time added to your life.
EX: been working for 6 out of 24 total years. 1/12 of 24 is 2, and 8/24 is 1/3 but in the problem we need to add the 1/12 to your age also. 8/26 is not 1/3. Could someone please help me and explain how to set this problem up so that the years of work and your age increase by the same amount.
--------------
j = years at job
a = age
-------
j/a = 1/4
(j+x)/(a+x) = 1/3
---------
a = 4j
(j+x)/(4j+x) = 1/3
3(j+x) = 4j+x
3j+3x = 4j+x
2x = j
x = j/2
--------
For your example j = 6, x = 3
6/24 = 1/4
9/27 = 1/3

RELATED QUESTIONS

If I have been working at my job for 1/4 of my life, how long will it be until I had been (answered by Earlsdon)
On visiting the town where I was born, I realised that I had been away for one-third of... (answered by stanbon)
It took 2 hours for 1 person to sweep the yard. How long would it take 4 persons working (answered by ankor@dixie-net.com)
Ben wanted to know how old his friend Mr. Fister was. Mr. Fister told him, "I started... (answered by stanbon)
My word problem involves the application of rational expressions. Here it is: Dennis... (answered by greenestamps)
Ben wanted to know how old his friend Mr. Stone was. Mr. Stone told him, "I started... (answered by Sridi)
I have been answering textbook math questions for over 20 years. It is terribly... (answered by greenestamps,timofer,MathTherapy,mccravyedwin,ikleyn)
Joe can do a job in 12 days after he has worked for 4 days he is joined by Casey and it... (answered by scott8148)
I have received the solution that you sent to me..thanks a lot. but i need again your... (answered by ankor@dixie-net.com)