Painting Job Completion for Dr. Johnson’s Clinic
Initial Team and Timeline
Dr. Johnson is planning to paint his clinic and understands that a team of 5 painters can finish the job in 26 days. This means that the total work required for the painting is 130 man-days, calculated as follows:
Calculation of Man-Days
5 painters × 26 days = 130 man-days
Progress After Initial Days
After starting the project, the team of 5 painters works for 6 days. During this period, they complete:
5 painters × 6 days = 30 man-days
Remaining Work and Additional Painters
After 6 days of work, the remaining man-days required to finish the job is:
130 man-days – 30 man-days = 100 man-days
At this point, 15 additional painters join the team, resulting in a total of 20 painters available to complete the work.
Final Calculation of Additional Days Needed
To find out how many more days are required to finish the job with 20 painters, we calculate:
100 man-days ÷ 20 painters = 5 days
Conclusion
Therefore, Dr. Johnson will need 5 more days to complete the painting job at his clinic.