SOLUTION: two masons can build a wall in 3.5 hours. Calculate how long it will take 5 masons to build the same wall.

Question 652081: two masons can build a wall in 3.5 hours. Calculate how long it will take 5 masons to build the same wall.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
OK. It takes 2*3.5 or 7 mason hours to build the wall. In other words, one mason can build the wall in 7 hours; two masons can build the wall in 7/2=3.5 hours; 3 masons can build the wall in 7/3 hours, etc.
5 masons can build the wall in 7/5=1.4 hours
Another way to look at this problem:
Let x=amount of time it takes 5 masons to build the wall
Then 5 masons work at the rate of 1/x wall per hour
One mason works at the rate of 1/5x wall per hour
But 2 masons work at the rate of 1/3.5 wall per hour
And one mason works at the rate of 1/7 wall per
soooo:
1/5x=1/7
5x=7
x=1.4 hours----time it takes 5 masons to build the wall
Hope this helps---ptaylor

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