Question

Person a can paint the​ neighbor's house 22 times as fast as person

Answer 1

Let 1/x=the time it takes for person b to paint
let 1/22x the time that it takes for person a to paint
lastly we have the following since we know that when they work together that is how long it takes
$\frac{1}{x} + \frac{1}{22x} = \frac{1}{77}$
to solve we first multiply both sides by 1694x
$1694 + 77 = 22x$
we then combine like terms
$1771 = 22x$
lastly we divide both sides by 22
$80.5 = x$