Problema Solution

It takes stefan 16 hours to clean an attic, jose can clean the same attic in 9 hours. If they worked together how long would it take them?

Answer provided by our tutors

let


x = the time (in hours) that Jose and Stefan need to clean the attic together, x>0


1/x attic per hour is the together rate


1/16 attic per hour is Stefan's rate


1/9 attic per hour is Jose's rate


1/16 + 1/9 = 1/x


by solving we find:


x = 5.76 hr


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it will take them 5.76 hours to clean the attic together.