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# SAT practice question

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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
+1034
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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
+206
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thanks

BLANK  Jul 19, 2020
#2
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x/15 = 10/y

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

Jul 19, 2020