SOLUTION: 5 Workers can build a road in 20 days. suppose every worker works at the same rate. if three workers work on road for 10 days before 11 more workers join them how long total will i
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Question 555108: 5 Workers can build a road in 20 days. suppose every worker works at the same rate. if three workers work on road for 10 days before 11 more workers join them how long total will it take to build a road? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 5 Workers can build a road in 20 days.
find the no of man-days required to build the road:
5 * 20 = 100 man-days to complete the road
:
suppose every worker works at the same rate. if three workers work on road for 10 days before 11 more workers join them how long total will it take to build a road?
:
Let d = time to build the road
3d + 11(d-10) = 100
3d + 11d - 110 = 100
14d = 100 + 110
14d = 210
d =
d = 15 days to build the road
:
:
Check this out (11 men worked 10 days less)
3(15) + 11(5) =
45 + 55 = 100; confirms our solution of 15 days
