Ten experienced workers can complete a job in $12$ days. A trainee works at $60\%$ of an experie

Question

Ten experienced workers can complete a job in $12$ days. A trainee works at $60\%$ of an experienced worker’s rate. Everyone works the same hours per day.
A new team contains $6$ experienced workers and $n$ trainees.

Find the minimum integer $n$ needed to complete the job within $15$ days.
Using this minimum team, find the actual completion time.
Experienced workers earn $\$120$ per day and trainees $\$70$ per day. Wages are prorated for partial days. Compare the new team’s total wage cost with that of the original team. Ignore all other costs.

Accepted Answer

(a) $4$ trainees; (b) $\frac{100}{7}$ days; (c) New cost $\frac{100000}{7}\approx\$14,285.71$, saving about $\$114.29$.

Direct and Inverse Proportion

Direct and Inverse Proportion

Solution:

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