SOLUTION: A carpenter and his partner can put up a patio cover in 3 3/7 hours. If the partner needs 8 hours to complete the patio alone, how long would it take the carpenter working alone?

Question 249302: A carpenter and his partner can put up a patio cover in 3 3/7 hours. If the partner needs 8 hours to complete the patio alone, how long would it take the carpenter working alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A carpenter and his partner can put up a patio cover in 3 3/7 hours.
If the partner needs 8 hours to complete the patio alone, how long would it take the carpenter working alone?
:
Let c = time required when carpenter works alone
:
Change 3 3/7 to
Let the completed job = 1
:
A typical shared work equation
+ = 1
multiply by 8c, results
8 + c = 8c
multiply by 7, results
8(24) + 24c = 7(8c)
:
192 + 24c = 56c
:
192 = 56c - 24c
:
192 = 32c
c =
c = 6 hrs, the carpenter working alone
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