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checking to see if this is right

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just checking to see if i have this problem correct

Sammy can cut wood twice as fast as Joe. When they both work together, it takes them 4 hrs. how long would it take them to do the job alone?

4/x +4/x+2 = x^2+2

4x+4x+8= x^2+2
8x+8= x^2+2


x=4 x=-2 since i can't use a -2 i have to put in a 4


Sammy =6 hours
Joe = 12 hours


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