Brain Teasers

A contractor estimated that one of her two bricklayers would take 9 hours to build a certain wall and the other 10 hours. However, she knew from experience that when they worked together, 10 fewer bricks were laid per hour. Since she was in a hurry, she put both workers on the job and found it took exactly 5 hours to build the wall. How many bricks did the wall contain? :D
 
X = number of bricks in the wall
speed1 = X/9 bricks per hour
speed2 = X/10 bricks per hour
overhead = 10 bricks per hour
speed3 = speed1 + speed2 - overhead = (X/9 + X/10 - 10) bricks per hour
speed3 = X/5 bricks per hour

X/9 + X/10 - 10 = X/5
X/9 + X/10 - X/5 = 10
10X + 9X - 18X = 900

X = 900

- jaan
 
Quote from jaan:

X = number of bricks in the wall
speed1 = X/9 bricks per hour
speed2 = X/10 bricks per hour
overhead = 10 bricks per hour
speed3 = speed1 + speed2 - overhead = (X/9 + X/10 - 10) bricks per hour
speed3 = X/5 bricks per hour

X/9 + X/10 - 10 = X/5
X/9 + X/10 - X/5 = 10
10X + 9X - 18X = 900

X = 900

- jaan

Correct.
 
Quote from daniel_m:



i'm getting results similar to what i normally get, so i guess they are.

I don't know Danny Boy I am definately not that bright; although I have never actually taken one of these tests before...
 
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