SOLUTION: A painter can paint a kitchen in 4 hours. An apprentice can paint the same kitchen in 12 hours. If they worked together, how long would it take them to paint the kitchen?
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Question 774934: A painter can paint a kitchen in 4 hours. An apprentice can paint the same kitchen in 12 hours. If they worked together, how long would it take them to paint the kitchen?
You can put this solution on YOUR website! Let x=amount of time it takes them working together to paint the kitchen
Then together, they paint at the rate of 1/x kitchen per hour
Painter works at the rate of 1/4 kitchen per hour
Apprentice works at the rate of 1/12 kitchen per hour
Sooooo
1/4+1/12=1/x multiply each term by 12x
3x+x=12
4x=12
x=3 hrs---time it takes both working together to pain the kitchen
CK
In 3 hours the Painter paints (1/4)*3=3/4 of the kitchen
In 3 hours the Apprentice paints (1/12)*3=3/12=1/4 of the kitchen
1/4+3/4=the kitchen:)
Hope this helps----ptaylor
