Problema Solution

Mary and Matthew work in a donut shop. When Mary works alone overnighjt, she makes all of the donuts for the next day in 6 hours. When Matthew works alone overnight, he makes all of the donuts in 5 hours. On Friday night, Mary starts making the donuts by herself. After 2 hours, Matthew arrives and they begin making donuts together. From the time that Mary started, how long will it take to finish all of the donuts for the next dayt?

Answer provided by our tutors

assume they will take x hrs.

then we have 

x(1/6) + (x-2)(1/5) = 1

== > x(11/30) = 7/5

== > x = 42/11 = 3.82 hrs.