If 6 workers can complete a task in 15 days, how many workers are needed to comp

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

Options:

Correct Answer: 10 workers

Solution:

Total work = 6 workers * 15 days = 90 man-days. To complete in 10 days, needed workers = 90/10 = 9 workers.

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

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

Step 1: Understand that 'man-days' is a way to measure work. It means how many workers are working for how many days.
Step 2: Calculate the total work done by the 6 workers in 15 days. This is done by multiplying the number of workers by the number of days: 6 workers * 15 days = 90 man-days.
Step 3: Now, we want to find out how many workers are needed to complete the same amount of work (90 man-days) in 10 days.
Step 4: To find the number of workers needed, divide the total work (90 man-days) by the number of days (10 days): 90 man-days / 10 days = 9 workers.
Step 5: Therefore, 9 workers are needed to complete the task in 10 days.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Man-Days Calculation – Calculating total work in terms of man-days to determine the required workforce for a different time frame.