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

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
RELATED QUESTIONS
It takes nine days for 8 worker to pave a stretch of road. If each worker works at the... (answered by Mathtut)

12 workers can build a road in 30 days . how many workers required to build a road in 10... (answered by TimothyLamb)

A road contractor wanted to build a 200 meter long road in 30 days and employed 20... (answered by ankor@dixie-net.com,MathTherapy)

Five brick-layers working together can build a wall in 20 days. Suppose every... (answered by Boreal,Edwin McCravy)

of 5x workers can build a car in 4y days how many days will it take 2z work at the same... (answered by josgarithmetic)

Looking for the most efficient method. 20 workers completed a quarter of a job in 8... (answered by majo89)

a contractor engages 24 workers to build a road in 30 days. after 24 days he finds... (answered by TimothyLamb)

A bricklayer does one day of work building a wall. On the second day, he is joined by a... (answered by ankor@dixie-net.com)

a king hires a crew of 30 workers, who can build a castle wall in 60 days. However, 10... (answered by lwsshak3,josmiceli)