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