Fourteen workers can make 1400 toys in 5 days. After the first day, 14 more workers join. How many additional days are needed to finish the remaining toys?

Introduction / Context:
Output-per-worker-per-day can be derived from an initial production plan. Once additional workers join, the daily output changes and we compute remaining time accordingly.

Given Data / Assumptions:

• 14 workers produce 1400 toys in 5 days.
• After 1 day, 14 more workers join (total 28).
• Find extra days to finish the remaining toys.

Concept / Approach:
First compute per worker daily productivity p from the original plan. Subtract the first day’s production at 14p from the total to get the remainder. Divide the remainder by the new daily output 28p.

Step-by-Step Solution:

Verification / Alternative check:
Total elapsed time = 1 + 2 = 3 days which is less than the original 5 day plan, as expected when doubling the workforce after day 1.

Why Other Options Are Wrong:
3, 4, 3.5, 1 days do not divide the remainder 1120 by 560 correctly and lead to under or over production.

Common Pitfalls:
Recomputing p incorrectly; forgetting to subtract the first day’s production; using 14 rather than 28 for the remaining days.

Final Answer:
2 days