Problema Solution

Janice can paint a room in 8 hours. When she works with ger partner Alison, the two can paint the same room in 3 hours. how long would it take Alison to paint the room alone?

Answer provided by our tutors

Janice can paint a room in 8 hours.


The rate of Janice is: 1/8 room per hour.


The two can paint the same room in 3 hours.


The together rate is: 1/3 room per hour.


Let x represent the hours that Alison needs to paint the room alone, x>0


The rate of Alison is: 1/x room per hour.


1/8 + 1/x = 1/3

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x = 4.8 hr


x = 4 hr 0.8*60 min


x = 4 hr 48 min


Alison can paint the room alone is 4 hours and 48 minutes.