SOLUTION: one person can complete a task 8 hours sooner than another person. working together both people can perform the task in 3 hours. How many does it take each person to complete the

Question 873130: one person can complete a task 8 hours sooner than another person. working together both people can perform the task in 3 hours. How many does it take each person to complete the task working alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working to
get their rate working together
-----------
1st person's rate:
( 1 task ) / ( t - 8 hrs )
where (t) is in hours
-------------------
2nd person's rate:
( 1 task ) / ( t hrs )
-----------------
Rate working together:
( 1 task ) / ( 3 hrs )
--------------------

Multiply both sides by

------------------------
complete the square

-------------
The 1st person takes 4 hrs
The 2nd person takes 12 hrs
-------------------------
check answer:

OK
RELATED QUESTIONS
It takes person A 4 hours less than person B to complete a certain task. Working... (answered by josmiceli)

if one person can complete a task in 2h and another person can complete the same task in... (answered by richwmiller,lwsshak3)

Working together, two people can complete a task in 10 hours. Working alone, one person... (answered by scott8148)

Working together, two people can complete a task in 8 hours. Working alone, one person (answered by nerdybill)

Working together, two people can complete a task in 9 hours. Working alone, one person... (answered by solver91311)

Working together, two people can complete a task in 7 hours. Working alone, one person... (answered by josgarithmetic)

One person can complete a task in 3 minutes. A second person can complete the same task... (answered by ankor@dixie-net.com)

It takes a more experienced person 1 hour less to complete a task than it does a less... (answered by ptaylor)

Tom and dick working together can perform a task in 2 hours and 24 minutes. Dick and... (answered by ikleyn)