Question

A certain number of workers can finish a piece of work in 70 days. If there are 20 men less, it would take 10 more days for the same work to be finished. How many workers were there in the starting ?

• A. 140 workers
• B. 160 workers
• C. 152 workers
• D. 150 workers

Answer 1

The correct option is B 160 workers

Let the number of workers in the starting be x.
Total work done will always be constant
Hence ⟹ No. of workers × work days = constant
⟹ x × 70 = (x - 20) × 80
⟹ 10x = 20 × 80
⟹ x = $\frac{20\times 80}{10}$ = 160

The number of workers in the starting is 160 workers