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.
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