A bricklayer can lay 20 bricks in a hour. How many bricks can he lay in x minutes

Question

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Answer 1

Well... there are 60 minutes in an hour.

 

Thus, if he can lay 20 bricks in 1 hour, he can lay 20 bricks in 60 minutes. Or simplifying (by dividing by common factor of 20) he can lay 1 brick every 3 minutes.

 

In X minutes, then he can lay (X minutes) * (1 brick)/(3 minutes)

 

You can see that the minute label cancels out:

(X minutes) * (1 brick)/(3 minutes) and you are left with X/3 bricks

 

In other words in X minutes, he lays X/3 bricks.

Answer 2

20 bricks per hour is a ratio

20bricks/1 hour

but we know that 1 hour has 60 min

 

so we could rewrite the brick ratio in minutes as

20 bricks/60 min.

 

we'd like to know about x minutes, so just multiply this ratio by x

(20 bricks/60 min)x min

Note that the min drops and we have

[(20 bricks)x]/60 = number of bricks per minute.