Problema Solution

working alone it took beth 11 hours to clean an attic. pam can clean the same attic in 15 hours. how long should it take them working together?

Answer provided by our tutors

let 'x' represent the hours Beth and Pam need to clean the attic together


their together rate is: 1/x attic per hour


Beth's rate is: 1/11 attic per hour


Pam's rate is: 1/15 attic per hour


1/11 + 1/15 = 1/x


by solving we find:


x = 6.35 hr


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it will take them approximately 6.35 hours to clean the attic together.