Suppose 9 men take 9 hours to dig 9 holes in the ground.
(a) How many hours would it take 3 men to dig 3 holes?
(b) How many men would it take to dig 54 holes in 54 hours?
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9 men take 9 hours to dig 9 holes =>
1 man takes 9 hours to dig 1 hole =>
a) 3 men take 9 hours to dig 3 holes
1 man take 9*54 hours to dig 54 holes =>
b) 9 men take 54 hours to dig 54 holes
A) 3 hours.
Why? Well I'm glad you asked!!!
The men are all in a line and by force of habit just throw the dirt behind them. Unfortunately that falls into the hole of the person behind them. So the first one finishes in 1 hour, the second (now that no one is putting dirt in his hole) finishes an hour after that. There's only room for 1 man per hole so they can't go helping their friends, so the last guy ends up digging a hole for each person.
These men really need a manager.
B) 54 men. As stated above, they each dig and dig and dig as the idiot in front of them fills in their hole each time they take a shovel full out. Remember if it was just one guy, either he would make a big pile where the next hole is supposed to go, or he would dig a hole, walk forward and dig his hole out again, and have to redig it! That would be terrible. It would take this guy 1485 hours to do it by himself because we have to assume they send the worst one out there.