# 6 men 6 days to dig 6 holes

If it takes 6 men 6 days to dig 6 holes, how long would it take 100 men to dig 50 holes?

### Comments for 6 men 6 days to dig 6 holes

 Jul 26, 2010 Ratio & Proportion by: Staff The question: If it takes 6 men 6 days to dig 6 holes, how long would it take 100 men to dig 50 holes? The answer: Ratio & Proportion Step 1: Calculate how many man-days are required to dig one hole 6 men x 6 days : 6 holes 36 man-days : 6 holes 6 man-days : 1 hole (in other words, it takes 6 man-days to dig 1 hole) Step 2: Calculate the number of man-days it will take to dig 50 holes 6 man-days per hole x 50 holes = [(6 man-days)/(1 hole)] x (50 holes) = 300 man-days (in other words, since it takes 6 man-days to dig 1 hole, it will take 300 man-days to dig 50 holes. Notice that the unit HOLES cancels when you complete the calculation, leaving the final answer in the unit MAN-DAYS) Step 3: Calculate the number of days required to complete the task with 100 men working (300 man-days)/(100 men) = 3 days (in other words, since you must complete 300 man-days of work, the time to complete the project depends on how many men are working. Since 100 men are working, 300 divided by 100 shows that it will take only 3 days to complete the job. Notice that the unit MAN cancels when you complete the calculation, leaving the final answer in the unit DAYS) The FINAL ANSWER is: 3 days Thanks for writing. Staff www.solving-math-problems.com

 Dec 02, 2019 No of FTE'S needed by: Anonymous Radiology Department Can the same concept be used to calculate how many staff do I need to complete no of scans/exams per day

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