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Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $8$ days earlier. If the job needs to completed $28$ days earlier, how many additional workers should be hired?

 Aug 29, 2023
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D==Number of days needed for 5 workers to finish the job.

W==Number of additional workers needed

 

5D ==6[D - 8].......................(1)

5D / [5  +  W]==48 - 28.......(2), solve for D, W

 

Use substitution to get:

D ==48 days

W==7 additional workers needed

5 + 7 ==12 workers in total will be needed.

 Aug 29, 2023

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