Danger: Construction Site! Keep out!
Engineer Marvin calculated that a certain construction project can be finished in 200 days by 30 workers. The project started with 30 workers. At the end of 90 days, 10 workers were fired. The remaining workers continued the work for 30 days. Then 30 workers were added to finish the job. After completing the project: were they behind schedule, right on schedule or before schedule?
Note: Assume that all workers have the same rate.
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1 solution
2 0 0 d a y s ( 3 0 w o r k e r s ) = 9 0 d a y s ( 3 0 w o r k e r s ) + 3 0 d a y s ( 2 0 w o r k e r s ) + x d a y s ( 5 0 w o r k e r s )
x = 5 4 d a y s
The project was completed in 9 0 + 3 0 + 5 4 = 1 7 4 d a y s . Therefore, they were before schedule.