8 men can build a chalet in 18 days.

Question

working at the same rate how long would it take,

a) 12 men

b) 5 men

c) how many men would be needed to build it in 3 days

Answer 1

8 men build a chalet in 18 days. How long will it take 12 men?

 

First of all, we know 12 men are more than 8 men so whatever answer we get has to be less than 18 days. So we set up the equation like this:

 

a.  8men * 18 days = 12 men * X days

 

8*18 = 12*X

 

144 = 12X

 

144/12 = 12X/12

 

12 = X

 

So it would take 12 men 12 days.

 

b. 5 men?

 

Set up the equation the same way.

 

8 men * 18 days = 5 men * X days

 

8*18 = 5X

 

144 = 5X

 

144/5 = X

 

28.8 = X

 

It will take 5 men 28.8 days. 

 

c. How many men would build the chalet in 3 days?

 

Again, set up the equation the same way.

 

8men * 18 days = X men * 3 days

 

8*18 = X*3

 

144 = 3X

 

144/3 = 3X/3

 

48 = X

 

It will take 48 men 3 days to build the chalet.