SOLUTION: It takes person A 4 hours less than person B to complete a certain task. Working together, both can complete the task in 8/3hours. How long does it take each person to complete the

Question 588034: It takes person A 4 hours less than person B to complete a certain task. Working together, both can complete the task in 8/3hours. How long 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
Let ( 1 task ) / ( t hours ) = B's rate
given:
( 1 task ) / ( t - 4 hours ) = A's rate

Multiply both sides by

Use the quadratic formula

( ignore the (-) root )

It takes B 8 hrs to do the task alone
It takes A = 4 hrs to do the task alone
check answer:

OK
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