A railway contractor engages 30 workers to lay track in 25 days. After 15 days, only half of the track is completed. How many additional workers must be hired to complete the work strictly on time?
Answer and explanation
Correct answer: D. 15 additional workers
- Step 1: Initial rate: 30 workers in 15 days completed 0.5 of the total work = 450 worker-days for 0.5 work.
- Step 2: Total work requires 2 * 450 = 900 worker-days.
- Step 3: Remaining work is 0.5 = 450 worker-days.
- Step 4: Days remaining = 25 - 15 = 10 days.
- Step 5: Workers needed = 450 / 10 = 45 workers.
- Step 6: Additional workers needed = 45 - 30 = 15 workers.
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