SOLUTION: if 3 men can dig 6 trenches in 4 days, how many days would it take for 24 trenches to be dug by 4 men?

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Question 729825: if 3 men can dig 6 trenches in 4 days, how many days would it take for 24 trenches to be dug by 4 men?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Rate is units of trenches per day. Find the rate of 1 man. One man is 1/3 of three men. His rate is therefore 1%2F3 of 6%2F4 trenches per day. This one-man rate is %286%2F4%29%2A%281%2F3%29=1%2F2 trench per day.

Now you have rate*time=trenches. For 4 men doing this work, 4%2A%281%2F2%29%2At=24, where t is how many days for four men to dig 24 trenches. Find t.