SOLUTION: If 8 men could plough a field in 9 days, how many days would it take 18 men working at the same rate?

Question 552078: If 8 men could plough a field in 9 days, how many days would it take 18 men working at the same rate?
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

In order to solve this,

we need to find out how many man-days it takes to plough the whole field.

It is simple to see, that if it takes 8 men 9 days to do the whole job,

then it will take them 9*8, or 72 man-days to complete the job.

Now, we can find out how many days it would take 18 men to do the job.

It would still take a total of 72 man-days to do the job,

but this time, we have 18 men instead of 8.

Simply divide 72 by 18, and we will have our answer.

Thus it would take 18 men only 4 days to plough the field.

Algebraically, we would have written it:

This type of problem is actually MUCH simpler to do than the ones involving filling pools and buckets.

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I hope this helps! :)

Email Scott: neatmath@yahoo.com for help with specific problems,

or to inquire about mathematics tutoring via email or other methods.

Paypal is always accepted for single problems or for more intensive tutoring!

Single problems would range from 50 cents to 5 dollars each, depending on their complexity.

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