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
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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) (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
__ 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)
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