SOLUTION: Tom and Harry take 3 hours to fill a hole. Harry and Jack would take 4 hours to fill the same hole, but Jack and Tom would take 6 hours to fill the hole. How long would it take Jac

Question 835504: Tom and Harry take 3 hours to fill a hole. Harry and Jack would take 4 hours to fill the same hole, but Jack and Tom would take 6 hours to fill the hole. How long would it take Jack to fill the hole on his own?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
1/t+1/h=1/3,
1/h+1/j=1/4,
1/j+1/t=1/6
1/t+1/h=4/12,
1/h+1/j=3/12,
subtract
1/t-1/j=1/12
1/j+1/t=2/12
add
2/t=3/12
2/t=1/4
t=8
1/j+1/8=1/6
1/j+3/24=4/24
1/j=1/24
j=24

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