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Joey and Rita can individually paint a room in 8 hours. It takes Billy 12 hours to paint this same room. If all three work together, how long would it take them to paint this room?

Respuesta :

calculista
we know that
Joey and Rita paint a room in 8 hours
so
100%----------> 8 hours
 X%----------> 1 hour
x=100/8-----> 12.5%  
that means 
Joey and Rita paint 12.5% of a room in 1 hour

Billy paint a room in 12 hours
so
100%----------> 12 hours
X %------------> 1 hour
x=100/12----> x=8.33 %
that means 
Billy paint 8.33% of a room in 1 hour

if all three work together
then
All three paint (12.5%+8.33%) in 1 hour

20.83%------------> 1 hour
100%------------> x
x=100/20.83-----> x=4.8 hours

the answer is
4.8 hours

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