SOLUTION: A & B together can paint a room in 18 days . they work together for 8 days and then b goes away. A finishes the rest of work in 15 days . how long would each take to finish the wor

Question 838265: A & B together can paint a room in 18 days . they work together for 8 days and then b goes away. A finishes the rest of work in 15 days . how long would each take to finish the work saperatly?

Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
18/a+18/b=1,
23/a+8/b=1
a = 27, b = 54

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = A's rate of painting
Let = B's rate of painting
Let = their rate painting together
--------------------------------------
You can add their individual rates to get their
rate working together:

= ( 1 room painted ) / ( 18 days )

What fraction of the room do they get done in days?

The paint of the room, so there is left to paint
A has to finish the job, which is of the room alone
given:

and, since

------------------
A can paint the room alone in 27 days
B can paint the room alone in 54 days
check:
In the last 15 days, A gets 15/27 of the room done
12/27 has already been painted
Is this true:

OK

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