Problem 869

Daily Math Challenge - January 31, 2023



A speaker comes to your school to make a sixty-minute presentation in the auditorium.  Thirty percent of the students in attendance heard the entire speech and 10 percent slept through the entire talk.  Half of the remaining students heard one-fourth of the speech and the other half heard three-fourths of the talk.  What was the average number of minutes of the talk heard by the students in the audience?

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