Question 1162661
<br>
let x = # hours it takes B alone
then x+2 = # hours it takes A alone<br>
1/x = fraction of job B does alone in 1 hour
1/(x+2) = fraction of job A does alone in 1 hour<br>
Together the two do the job in 8 hours, so the fraction they do together in 1 hour is 1/8:<br>
{{{1/x+1/(x+2) = 1/8}}}<br>
Multiply by the common denominator, {{{8(x)(x+2)}}}:<br>
{{{8(x+2)+8(x) = x(x+2)}}}
{{{16x+16 = x^2+2x}}}
{{{x^2-14x+16 = 0}}}<br>
Solve using the quadratic formula or a graphing calculator (or any other method you might know)....<br>