SOLUTION: Cara and Jim take eight hours to mow the yard. Jim take 4 times as long as Cara to mow the yard by himself. How long does it take Cara to mow the yard?

Question 151542: Cara and Jim take eight hours to mow the yard. Jim take 4 times as long as Cara to mow the yard by himself. How long does it take Cara to mow the yard?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Cara and Jim take eight hours to mow the yard. Jim take 4 times as long as Cara to mow the yard by himself. How long does it take Cara to mow the yard?
:
Let t = C's time to mow the yard
then
4t = J's time to mow the yard
:
Let the completed job = 1
:
+ = 1
:
Multiply equation by 4t
4(8) + 8 = 4t
:
32 + 8 = 4t
:
40 = 4t
:
t = 10 hrs for C to mow by himself
;
:
Check solution on a calc: 8/10 + 8/40 = 1
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