SOLUTION: If it takes two men two hours to dig a hole 3 metres long, 3 metres wide and 3 metres deep, how long would it take the same two men to dig a hole 6 metres long, 6 metres wide and 6

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Question 806103: If it takes two men two hours to dig a hole 3 metres long, 3 metres wide and 3 metres deep, how long would it take the same two men to dig a hole 6 metres long, 6 metres wide and 6 metres deep if they worked at the same rate?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two tricks are to define the meaning of 1 job, and calculate the one-man work rate.

The meaning of 1 job is, " dig a hole 3 metres long, 3 metres wide and 3 metres deep,". This will give the size of the hole, meaning The Job.

The question part will also be some quantity of job, in that case, 6*6*6. If one job is a hole 3*3*3, then how many job is 6*6*6? The job quantity asked is 6%2A6%2A6%2F%283%2A3%2A3%29=2%5E3=8 jobs.

If 2 men need 3 hours to do 1 job,
then
1 man needs 2*3=6 hours to do this 1 job. The one-man rate is 1%2F6 Hours per Job.

Thinking for this again, if the same two men are to do 8 jobs, these same two men still have their already-given rate of 1%2F3 jobs per hour FOR THE TWO MEN WORKING TOGETHER.

rate*time=jobs
highlight%28%281%2F3%29%2Ah=8%29--------if this equation makes sense to you then you can finish, finding h for hours to do the 8 jobs.