Six workers can complete a project in $d$ days. If one worker is absent, the remaining five take 4

Question

Six workers can complete a project in $d$ days. If one worker is absent, the remaining five take 4 more days. Assume that every worker works at the same constant rate and that adding workers does not reduce efficiency. Find $d$. To finish the project in 8 days, how many more workers than the original six are needed? State an assumption used in your calculation.

Accepted Answer

(a) $20$ days; (b) $9$ more workers; equal constant work rates.

Work rates

Work rates

Solution:

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