SOLUTION: It takes 10 hours for 5 people to paint 6 rooms. At the same rate, how long does it take for 3 people to paint 4 rooms? Please help.

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Question 1097566: It takes 10 hours for 5 people to paint 6 rooms. At the same rate, how long does it take for 3 people to paint 4 rooms? Please help.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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In the first case, the rate of work of one single worker is 6%2F%2810%2A5%29 of the room per hour per worker


In the second case, the rate of work of one single worker is 4%2F%283%2Ax%29 of the room per hour per worker.

    (where x is unknown number of workers).


The rates are the same, which gives you an equation


6%2F%2810%2A5%29 = 4%2F%283%2Ax%29.


Solve for x:   x = %2810%2A4%2A5%29%2F%286%2A3%29 = 200%2F18 = 112%2F18 hours = 111%2F9 hours.


See the lesson
    - Rate of work problems
in this site.