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Triss [41]
3 years ago
6

It takes 636363 minutes for 444 people to paint 999 walls. how many minutes does it take 777 people to paint 444 walls? minutes

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0
Let t=time, p=people, and w=walls.

We know that the time it takes is directly proportional to the length of the wall but inversely proportional to the number of people working. That is 
     t=k\cdot \frac{w}{p}

We solve for the constant of proportionality, k.
     k=\frac{t\cdot p}{w}

The initial values for k are the same for the final values. That is
     \frac{t_1\cdot p_1}{w_1}=\frac{t_2\cdot p_2}{w_2}

     \frac{63\cdot 4}{9}=\frac{t_2\cdot 7}{4}

     t_2=\frac{4\cdot 63\cdot 4}{7\cdot 9}=16

It will take 16 minutes.      

    

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