Question : A contractor employed 69 workers to complete a work in 20 days. How many more workers he should employ to complete the work in 12 days?
Option 1: 115 workers
Option 2: 46 workers
Option 3: 51 workers
Option 4: 64 workers
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Correct Answer: 46 workers
Solution : Given: The work can be completed in 20 days by 69 workers. Let the more workers be $x$. According to the question: ${M_1×D_1}$ = ${M_2×D_2}$, where $M_1, M_2$ are number of men and $D_1, D_2$ are number of days. ⇒ ${69×20}$ = ${(69+x)×12}$ ⇒ $1380 = 828+12x$ ⇒ $12x = 552$ ⇒ $x = 46$ Hence, the correct answer is 46 workers.
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