SOLUTION: Nacy can mow the lawn in 5 hours. If Craig helps, they can complete the job in 2 2/9 hour. How Long would it take Craig to do the job alone ??

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Nacy can mow the lawn in 5 hours. If Craig helps, they can complete the job in 2 2/9 hour. How Long would it take Craig to do the job alone ??      Log On


   



Question 599149: Nacy can mow the lawn in 5 hours. If Craig helps, they can complete the job in 2 2/9 hour. How Long would it take Craig to do the job alone ??
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Nacy can mow the lawn in 5 hours. If Craig helps, they can complete the job in 2 2/9 hour.
How Long would it take Craig to do the job alone ??
:
Let c = Craig's time alone
:
Let the completed job = 1
:
Change 2 2/9 to 20%2F9 hrs
:
%2820%2F9%29%2F5 + %2820%2F9%29%2Fc = 1
multiply by 5c
%2820%2F9%29c + %2820%2F9%29%285%29 = 5c
:
Multiply by 9
20c + 20(5) = 9(5c)
100 = 45c - 20c
100 = 25c
c = 100%2F45
c = 4 hrs, Craig's time alone