If 6 workers can finish a job in 15 days, how many workers are needed to finish

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Question: If 6 workers can finish a job in 15 days, how many workers are needed to finish the job in 10 days?

Options:

Correct Answer: 12 workers

Solution:

If 6 workers take 15 days, then to finish in 10 days, we need (6 * 15) / 10 = 9 workers.

If 6 workers can finish a job in 15 days, how many workers are needed to finish the job in 10 days?

If 6 workers can finish a job in 15 days, how many workers are needed to finish the job in 10 days?

Step 1: Understand that 6 workers can complete the job in 15 days.
Step 2: Calculate the total amount of work done in worker-days. This is done by multiplying the number of workers by the number of days: 6 workers * 15 days = 90 worker-days.
Step 3: Determine how many worker-days are needed to finish the job in 10 days. We need to find out how many workers are required to complete 90 worker-days in 10 days.
Step 4: Use the formula: Number of workers = Total worker-days / Number of days. So, we calculate: 90 worker-days / 10 days = 9 workers.
Step 5: Conclude that 9 workers are needed to finish the job in 10 days.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Inverse Proportionality – Recognizing that as the number of days decreases, the number of workers needed increases.