Question 1107026
 solving this question regarding completion of a task:
 Person A says he can complete a certain task in 10 days
 After 2 days, person B comes in to help and together they complete the task after 3 days.
 The question is: how long would it have taken person B to complete the task alone. 
:
we use a Shared Work equation
let b = B's time to do the task alone
let the completed job = 1
:
Each will do a fraction of the job; the two fractions add up to 1
From the information given, we know that A work;ed two days longer than B.
Therefore; A worked 5 days and B worked 3 days 
{{{5/10}}} + {{{3/b}}} = 1
Reduce the fraction
{{{1/2}}} + {{{3/b}}} = 1
multiply equation by 2b, cancel the denominators, you have
b + 2(3) = 2b
b - 2b = -6
-b = -6
b = 6 hrs for B to do the job alone
:
another words, each did half of the job