SOLUTION: Together, Lateesha and John can write a particular type of computer program in 15 hours. Alone, Lateesha can do the job 3 hours faster than John. Find the time that each person tak

Algebra ->  Rational-functions -> SOLUTION: Together, Lateesha and John can write a particular type of computer program in 15 hours. Alone, Lateesha can do the job 3 hours faster than John. Find the time that each person tak      Log On


   

Question 170172This question is from textbook
: Together, Lateesha and John can write a particular type of computer program in 15 hours. Alone, Lateesha can do the job 3 hours faster than John. Find the time that each person takes to write the computer program This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
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

%2815%2Fx%29%2B%2815%2F%28x%2B3%29%29=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)