SOLUTION: Fout tractors working together can plow a field in 12hrs.How long will it take six tractors to plow a field of the same size if all tractors work at same rate?

Question 82938: Fout tractors working together can plow a field in 12hrs.How long will it take six tractors to plow a field of the same size if all tractors work at same rate?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=time it takes for 6 tractors to plow the field.
Each tractor can plow the field at the rate of 1/4 of field per 12 hours. Or one tractor can plow the field(4/4)in 4*12=48 hours. In other words, it takes 48 tractor-hours to plow the field.
So x=(Number of Tractor-Hours Required)/(Number of Tractors)-- in this case -6
1 tractor takes 48/1=48 hours
2 tractors takes 48/2=24 hours
3 tractors takes 48/3=16 hours
4 tractors takes 48/4=12 hours
6 tractors takes 48/6=8 hours-------------------------ans
Hope this helps----ptaylor
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