A team of 4 construction workers can build a small bridge in 10 days. If they hire 2 more workers after 4 days, total time is
Correct answer: A. 8 days
- A. 8 days
- B. 9 days
- C. 9.5 days
- D. 10 days
Explanation
The team of 4 workers can finish the bridge in 10 days, so their daily work rate is 1/10. After 4 days, they complete 4/10 or 40% of the work. To finish the remaining 60%, they hire 2 more workers, making a team of 6. The new work rate is 6/10 per day. Consequently, they complete the remaining 60% in 4 days. Hence, the total time taken is 4 days (initial) + 4 days (with additional workers) = 8 days.Option B (9 days) miscalculates the time needed after hiring, not fully accounting for the increased work rate. Option C (9.5 days) misapplies the new work rate, leading to an overestimation. Option D (10 days) ignores the addition of more workers and their impact on the work rate.
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