SOLUTION: to do a work independently B requires six days more than what A requires. if they work together ,it will take two days less than what A alone takes.in how many days can B alone com

Question 102576: to do a work independently B requires six days more than what A requires. if they work together ,it will take two days less than what A alone takes.in how many days can B alone complete the work?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The equation is:
(A's rate alone) + (B's rate alone) = (A & B rates working together)
or, in other words
(1 job / A's time) + (1 job / B's time) = 1 job / time working together
Let A = A's time to complete job alone
Let B = B's time to complete job alone
The problem says B = A + 6
and time working together = A - 2

multiply both sides by

Subtract from both sides

and are the solutions, but you can
discard the negative one
So, A gets the job done in 6 days working alone
B took six days more than A working alone
or, B takes 12 days working alone
To verify,
A = 6
B = 12

is this true?
yes, it's true
RELATED QUESTIONS
To complete a work 'A' takes 50% more time than 'B'. If together they take 18 days to... (answered by josgarithmetic,MathTherapy)

: To complete a work 'A' takes 50% more time than 'B'. If together they take 18 days to... (answered by ankor@dixie-net.com)

If A completes a particular work in 4 days and B the same work in 12 days. How many days... (answered by richwmiller)

B will take 3 days longer than A to complete a piece of work. If they together can... (answered by richwmiller)

A and B working together can finish a piece of work in 20 days. After working together... (answered by htmentor)

To complete a work A takes 50% more time than B. If together they take 18 days to... (answered by amarjeeth123)

A does 3/10 of a work in 6 days .He then calls in B and they finish the work in 7 days... (answered by ankor@dixie-net.com)

Ramesh , Suresh and Harish can do a piece of work in 15 days, 10 days and 6 days... (answered by mananth)

A takes 10 more days to do a job than B they both do a job in 12 days. in how many days B (answered by ikleyn,Theo)