If $5$ workers can collect $60$ kg wheat in $3$ days, how many kilograms of wheat will $8$ workers collect in $5$ days?

### Concept & Work Equivalence The amount of work (or wheat collected) is proportional to the number of workers and the days worked. $$ \frac{M_1 \times D_1}{W_1} = \frac{M_2 \times D_2}{W_2} $$ ### Step-by-Step Solution * **Given**: - $M_1 = 5$, $W_1 = 60$, $D_1 = 3$ - $M_2 = 8$, $W_2 = x$, $D_2 = 5$ * **Calculation**: $$ \frac{5 \times 3}{60} = \frac{8 \times 5}{x} $$ $$ \frac{15}{60} = \frac{40}{x} $$ $$ \frac{1}{4} = \frac{40}{x} $$ $$ x = 40 \times 4 = 160 $$ ### Exam Strategy & Shortcut Find the daily collection rate of one worker. $5$ workers collect $60$ kg in $3$ days, meaning they collect $20$ kg in $1$ day. So, $1$ worker collects $4$ kg per day. Therefore, $8$ workers collect $32$ kg per day. In $5$ days, they collect $32 \times 5 = 160$ kg. ### Common Pitfall Mistakenly putting work ($W$) in the numerator, which flips the proportion and leads to incorrect calculations. ### Final Answer Therefore, the correct answer is **160 kg**.