SOLUTION: if it takes 200 workers to build 2 miles of road in 3 weeks how maney workers would it take to build 5 miles in 6 weeks?

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Question 518143: if it takes 200 workers to build 2 miles of road in 3 weeks how maney workers would it take to build 5 miles in 6 weeks?
Found 2 solutions by oberobic, ankor@dixie-net.com:
Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
200 workers build 2 miles of road in 3 weeks so they build 2/3 of a mile per week,
We can view this as 100 workers building 1/3 of a mile per week.
Each worker builds 1/300 of a mile per week.
.
To build 5 miles in 6 weeks, you have to build 5/6 of a mile per week.
.
1/300 * x = 5/6
.
x = 1500/6
.
x = 250
.
It would take 250 workers to build 5 miles of road in 6 weeks.
.
Done.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
if it takes 200 workers to build 2 miles of road in 3 weeks
:
Find how many man-weeks to build 1 mi
= 300 man-weeks per mile
:
how many workers would it take to build 5 miles in 6 weeks?
;
Let m = no. of men required to build 5 mi in 6 weeks
6m = 5(300)
6m = 1500
m = 1500/6
m = 250 men to build 5 mi in 6 weeks

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