SOLUTION: It takes Jimmy ten hours to dig a 10 ft by 10 ft hole. Julia can dig the same hole in eight hours. Find how long it would take them if they worked together.

Question 865720: It takes Jimmy ten hours to dig a 10 ft by 10 ft hole. Julia can dig the same hole in eight hours. Find how long it would take them if they worked together.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: the "10 ft by 10 ft" portion is irrelevant. It's put in there to throw you off. So ignore it. I would rephrase the statement to be "it takes Jimmy 10 hours to dig a single hole". And then maybe add on "Julia can dig the same hole, of the same volume and size, in 8 hours"

Let,
x = time it takes Jimmy to do the job alone
y = time it takes Julia to do the job alone
z = time it takes for them to get the job done when they work together

So that means,
x = 10
y = 8
z = unknown (we leave it as 'z' for now). We are solving for this and isolating this variable

It will take them hours to get the job done if they work together (Note: hours approximately)
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