Question 170172
in 15 hrs they each do a fraction of the whole job, based on their individual times


let x=Lateesha's time, so x+3=John's time


{{{(15/x)+(15/(x+3))=1}}} __ multiplying by x(x+3) __ 15x+45+15x=x^2+3x


subtracting 30x+45 __ 0=x^2-27x-45 __ use quadratic formula to find x




ANSWER BELOW




x=28.6 (approx)