BECE Mathematics 2023 Paper

Concept:More men working at the same rate means less time is needed, so the number of workers and time are inversely proportional.Explanation:Let $w$ be the number of men and $t$ be the time taken.Since $w \propto \frac{1}{t}$, we have $w \times t = k$, where $k$ is a constant.For 1 man, $1 \times 12 = 12$.This product stays the same for 6 men.Let $t$ be the time for 6 men.$6 \times t = 12$$t = \frac{12}{6} = 2$ hoursTherefore, 6 men working at the same rate will complete the work in 2 hours.Answer:2 hours (Option C).