SOLUTION: Section 6.8, Exercises # 44 It takes a computer 8 days to print all of the personalized letters for a national sweepstakes. A new computer is purchased that can do the same job i

Question 147821This question is from textbook Algebra
: Section 6.8, Exercises # 44
It takes a computer 8 days to print all of the personalized letters for a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it? This question is from textbook Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It takes a computer 8 days to print all of the personalized letters for a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it?
-----------
Old computer DATA
Time = 8 days/job ; Rate = 1/8 job/day
---------------
New computer DATA:
Time = 5 days/job ; Rate = 1/5 job/day
---------------
Together DATA:
Time = x days/job ; Rate = 1/x job/day
----------------
EQUATION:
rate + rate = togther rate
1/8 + 1/5 = 1/x
5x + 8x = 40
13x = 40
x = 40/13 = 3.077 days to do the job together.
===============
Cheers,
Stan H.
RELATED QUESTIONS
It takes a computer 8 days to print all of personalized letters for a national... (answered by stanbon)

Good morning everyone, Can you help me? Please. 1) Computer Time: It takes a computer... (answered by josmiceli)

It takes a computer 8 days to print all of the personalized letters. A new computer is... (answered by checkley79)

It takes a computer 8 days to print all of the letters for a sweepstakes. A new computer... (answered by checkley77)

I'm having the toughest time trying to figure out this Word problem but I can not seem... (answered by Alan3354)

It takes a computer 8 days to print all the letters. A new computer can do the same job... (answered by ewatrrr)

can you help me? 1.an older computer unit requires 12min more to print a company's... (answered by moou_b)

can you help me? 1.an older computer unit requires 12min more to print a company's... (answered by scott8148)

A computer prints all of the integers from 1 to 3456. How many times does it print the... (answered by ikleyn,kohkche)