Question

can someone solve this problem,
an experiences accountant can balance the books twice as fast as a new accountant. working together it takes the accountants 6 hours. how long does it take the experienced accountant working alone?

Answer 1

15h?

Answer 2

if the new accountant has rate \(r\) then the experienced one has rate \(2r\) and there combined rate is \(3r\)}
we know that \(3r\times 6=1\) that is it takes six hour do do one job
solve \(18r=1\) get \(r=\frac{1}{18}\)

Answer 3

so the new accountant can do the job in 18 hours, and the experienced one can do it twice as fast, i.e. in 9 hours

Answer 4

oh ok, can you solve this one now, factor the polynomial completely,
y^4+y^3+y+1