SOLUTION: An archeologist and his father are working on a dig in a country. The archaeologist and his father working together can unearth a specific plot of land in 2.4 months. The archaeolo

Question 1164790: An archeologist and his father are working on a dig in a country. The archaeologist and his father working together can unearth a specific plot of land in 2.4 months. The archaeologist can unearth the entire area by himself in 4.0 months. How long it would take his father to unearth the entire area by himself?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
in 1 month, arch does 1/4 of it
in 1 month, arch + father do 1/2.4 of it
(1/4)+(1/x)=1/(2.4)
multiply by 9.6x
2.4x+9.6=4x
1.6x=9.6
x=6 months. ANSWER
every month, they do (1/4)+(1/6) or 5/12 of the area
in 2.4 months, they do all of it.
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