SOLUTION: Together, Carmen Molini and Jay McCarroll can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 hours faster than Jay. Find the time that each person tak

Algebra ->  sets and operations -> SOLUTION: Together, Carmen Molini and Jay McCarroll can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 hours faster than Jay. Find the time that each person tak      Log On


   

Question 170169This question is from textbook
: Together, Carmen Molini and Jay McCarroll can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 hours faster than Jay. Find the time that each person takes to prepare a catered dinner. Round to the nearest tenth This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
together, each person does some fraction of the whole job, based on their individual times

let x=Carmen's time, so x+5=Jay's time

20%2Fx+%2B+20%2F%28x%2B5%29+=+1 __ multiplying by x(x+5) __ 20x+100+20x=x^2+5x

subtracting 40x+100 __ 0=x^2-35x-100 __ use quadratic formula to find x




ANSWER BELOW




X=37.7