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avatar+206 

If x men can do a job in 15 days, how long will it
take 10 men to complete this task, assuming that
they work at the same rate?

 

how do i set up this problem?

15 x = 10 y?

but what would i do now

 Jul 19, 2020
 #1
avatar+1038 
+4

You are close! 

Let's set up a proportion, where x is the number of men doing the job in 15 days, and y is the number of days 10 men need to do the job. 

\(\frac{x}{15} = \frac{10}{y}\)

Cross multiplying will give us xy = 150.

Since we need to find y, we now need to find x in terms of y. This will give us x = 150/y.

 

Now, our new proportion is 

\(\frac{\frac{150}{y}}{15} = \frac{10}{y}\)

Now, we can either form a system of equations, OR, we can directly see that when y is 15, all the euqations work out. 

Therefore, you will need 15 days for 10 men to do the job. 

 Jul 19, 2020
 #3
avatar+206 
0

thanks

BLANK  Jul 19, 2020
 #2
avatar+27887 
+2

x/15 = 10/y

y = 150/x      you'll need to know what 'x' is to get a final answer

 Jul 19, 2020

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