SOLUTION: I am stuck with word problems. Can you help? Sam can unload a truck of furniture in 6 hours. Working together, it takes Sam and Matthew 2 hours to do the same job. How long w

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Question 233215: I am stuck with word problems. Can you help?
Sam can unload a truck of furniture in 6 hours. Working together, it takes Sam and Matthew 2 hours to do the same job. How long would it take Matthew to do the job by himself
I think is 1/6 + 1/x=1/2
But I cant make this math work? Can you help?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Sam can unload a truck of furniture in 6 hours. Working together, it takes Sam and Matthew 2 hours to do the same job. How long would it take Matthew to do the job by himself
I think is 1/6 + 1/x=1/2
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I think you're right.
1/x = 1/2 - 1/6 = 2/6
x = 3 hours
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Check it using the shortcut, product/sum
6*3/(6+3) = 2 hours together