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?
:
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
{{{8/10}}} + {{{3/h}}} = 1
multiply by 10h
10h*{{{8/10}}} + 10h*{{{3/h}}} = 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