SOLUTION: Four men take 3 hurs to paint a wall. How much time would 6 men take to do the same job? (Ans. 2 Hours)

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Question 479081: Four men take 3 hurs to paint a wall. How much time would 6 men take to do the same job? (Ans. 2 Hours)
Found 2 solutions by robertb, Edwin McCravy:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
1/12 = the part done by 1 man per 1 hour.
or, the work requires 12 man-hours to finish the wall.
Let x = # of hours to finish painting the wall
==> ==> 6x = 12 ==> x = 2 hours.

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Four men take 3 hours to paint a wall. How much time would 6 men take to do the same job? (Ans. 2 Hours)

Do it in your head:

The least common multiple of 4 men and 6 men is 12 men.

>>Four men take 3 hours to paint a wall,...<<

12 men is 3 times as many men as 4 men, so they can paint the wall
3 times as fast, which means they can paint it in only 1 hour.

Now 6 men is only half as many men as 12 men, so it takes them twice 
as long as it takes 12 men.  So it takes 6 men 2 hours.

Edwin

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