Problema Solution

Sarah can eat a box of popcorn in 10 minutes. Janet can eat a box of popcorn in 15 minutes. They go to the movies and share a box of popcorn. How long will it take them to finish it?

Answer provided by our tutors

the rate of Sarah is: 1/10 boxes per min


the rate of Janet is: 1/15 boxes per min


let x = the minutes it takes them to finish the box of popcorn together


the together rate is: 1/x boxes per min


1/10 + 1/15 = 1/x


by solving we find


x = 6 min


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it will take them 6 minutes to finish the box of popcorn together.