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
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.
x/15 = 10/y
y = 150/x you'll need to know what 'x' is to get a final answer