Painting problem physics homework

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SUMMARY

A painting job requiring 301 man-days can be completed by 7 painters in 43 days. After 8 days of work, where the initial effort totals 56 man-days, 28 additional painters join the team, bringing the total to 35 painters. The remaining effort of 245 man-days can be completed in 7 additional days by the 35 painters. Therefore, the total time to complete the job after the additional painters join is 7 more days.

PREREQUISITES
  • Understanding of man-days as a unit of work measurement
  • Basic arithmetic operations (addition, multiplication, division)
  • Familiarity with workforce scaling in project management
  • Knowledge of work completion timelines
NEXT STEPS
  • Study project management techniques for workforce allocation
  • Learn about man-hour calculations in construction projects
  • Explore optimization strategies for labor efficiency
  • Investigate case studies on scaling teams for project completion
USEFUL FOR

This discussion is beneficial for project managers, construction supervisors, and anyone involved in workforce planning and optimization in project execution.

powergirl
A painting job can be completed by 7 painters in 43 days. If 28 more painters join the team 8 days after starting work on the job, then how many more days are required to complete the job?
 
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Yes::
Solution:

Total effort required by 7 painters for 43 days = 7 x 43 = 301 man-days.

Initial effort by 7 painters for 8 days = 7 x 8 = 56 man-days.

Job still requires 301 - 56 = 245 man-days, and there are 35 painters available to do it.

Additional effort required by 35 painters for 245 man-days = 245 / 35 = 7 days.

Thus, 7 more days are required to complete the painting job.
 

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