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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

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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
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