SOLUTION: Mr Asif can do a job in 10 days. After working 3 days, he hires a helper and the two complete the job in 5 more days. How long would it be taken by the helper to complete the job a

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mr Asif can do a job in 10 days. After working 3 days, he hires a helper and the two complete the job in 5 more days. How long would it be taken by the helper to complete the job a      Log On


   



Question 642914: Mr Asif can do a job in 10 days. After working 3 days, he hires a helper and the two complete the job in 5 more days. How long would it be taken by the helper to complete the job alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Mr Asif can do a job in 10 days.
After working 3 days, he hires a helper and the two complete the job in 5 more days.
How long would it be taken by the helper to complete the job alone?
:
let h = time required by the helper working alone
let the completed job = 1
:
Asif worked a total of 8 days
:
A shared work equation
8%2F10 + 3%2Fh = 1
multiply by 10h
10h*8%2F10 + 10h*3%2Fh = 10h(1)
Cancel the denominators, resulting in:
8h + 10(3) = 10h
30 = 10h - 8h
30 = 2h
h = 30/2
h = 15 days required by the helper working alone