SOLUTION: If 2 men take 8 days to mow a field and the faster man can do it alone in 12 days how long will it take the slower man to do it alone?

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Question 452151: If 2 men take 8 days to mow a field and the faster man can do it alone in 12 days how long will it take the slower man to do it alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If 2 men take 8 days to mow a field and the faster man can do it alone in 12 days how long will it take the slower man to do it alone?
:
Let x = slow man's time alone
Let the completed job = 1 (a mowed field)
:
A typical shared work equation
:
8%2F12 + 8%2Fx = 1
multiply by 12x, results:
8x + 8(12) = 12x
96 = 12x - 8x
96 = 4x
x = 96%2F4
x = 24 days alone
:
:
check
8/12 + 8/24 =
2/3 + 1/3 = 1