Question: If 4 workers can finish a job in 16 days, how many days will 8 workers take to finish the same job?
Options:
8 days
10 days
12 days
14 days
Correct Answer: 8 days
Solution:
Work = 4 workers × 16 days = 64 man-days. For 8 workers, days = 64/8 = 8 days.
If 4 workers can finish a job in 16 days, how many days will 8 workers take to f
Practice Questions
Q1
If 4 workers can finish a job in 16 days, how many days will 8 workers take to finish the same job?
8 days
10 days
12 days
14 days
Questions & Step-by-Step Solutions
If 4 workers can finish a job in 16 days, how many days will 8 workers take to finish the same job?
Step 1: Understand that 4 workers can finish a job in 16 days.
Step 2: Calculate the total amount of work done in 'man-days'. This is done by multiplying the number of workers by the number of days: 4 workers × 16 days = 64 man-days.
Step 3: Now, we want to find out how many days it will take for 8 workers to finish the same job.
Step 4: To find the number of days for 8 workers, divide the total work (64 man-days) by the number of workers (8): 64 man-days ÷ 8 workers = 8 days.
Step 5: Therefore, 8 workers will take 8 days to finish the job.
Work Rate – The concept of work rate involves understanding how the number of workers and the time taken to complete a job are inversely related.
Man-Days – Man-days is a unit of measure that combines the number of workers and the number of days they work to complete a task.
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