SOLUTION: Write an equation that can be used to solve the problem. Solve the equation and answer the question. Naomi Ericson and Ricky Mendoza work for a computer software company. Together

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Write an equation that can be used to solve the problem. Solve the equation and answer the question. Naomi Ericson and Ricky Mendoza work for a computer software company. Together       Log On


   

Question 553983: Write an equation that can be used to solve the problem. Solve the equation and answer the question. Naomi Ericson and Ricky Mendoza work for a computer software company. Together they can write a particular computer program in 17 hours. Naomi can write the program by herself in 31.04 hours. How long will it take Ricky to write the program alone?
Please help me solve this problem. Thank you very much.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation that can be used to solve the problem. Solve the equation and answer the question. Naomi Ericson and Ricky Mendoza work for a computer software company. Together they can write a particular computer program in 17 hours. Naomi can write the program by herself in 31.04 hours. How long will it take Ricky to write the program alone?
**
1/31.04=Naomi's work rate
1/x=Rickey's work rate
1/17=Work rate when working together
sum of individual work rate=work rate when working together
1/31.04+1/x=1/17
LCD:31.04x*17
17x+31.04*17=31.04x
14.04x=31.04*17=527.68
x≈37.58
ans:
Rickey will take 37.58 hours to write the program alone