Amber can paint a room in 20 hours. Christy can paint the same room in 16 hours. How long does it take for both amber and christ
y to paint the room if they are working together?
1 answer:
Answer: it will take them 8.89 hours
Step-by-step explanation:
Amber can paint a room in 20 hours. This means that Amber's working rate per hour is 1/20
Christy can paint the same room in 16 hours. This means that Christy's working rate per hour is 1/16
If they work together, they would be working simultaneously and their unit rates is additive. This means that their combined rate would be
1/20 + 1/16
Assuming it takes t hours for both of them to paint the room working together. It means that their combined working rate per hour is 1/t. Therefore
1/20 + 1/16 = 1/t
(16 + 20/320 = 1/t
36/320 = 1/t
t = 320/36
t = 8.89 hours
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