Steven Spielberg has directed more movies than any other director in history (34). In total, his movies amount to 3,910 minutes. He decides that he will only make 90 minute movies for the remainder of his career
. Peter Jackson has directed 19 movies, which total a running time of 2,890 minutes. However, he decides to make movies that last precisely 150 minutes in the future.
If each directors makes 1 film per year for the remainder of their careers, how many years will it take for their films to have the same collective running time
+561 Total number of minutes of movie made by Spielberg = 3910 + 90 * number of "new" movies
Total number of minutes of movie made by Jackson = 2890 + 150 * number of "new" movies
Put the total number of minutes of movie made by each director equal to each other and solve for the number of new movies.
3910 + 90n = 2890 + 150n
1020 + 90n = 150n
1020 = 60n
17 = n
It will take 7 years for them to have produced the same number of minutes of film.
+561 Total number of minutes of movie made by Spielberg = 3910 + 90 * number of "new" movies
Total number of minutes of movie made by Jackson = 2890 + 150 * number of "new" movies
Put the total number of minutes of movie made by each director equal to each other and solve for the number of new movies.
3910 + 90n = 2890 + 150n
1020 + 90n = 150n
1020 = 60n
17 = n
It will take 7 years for them to have produced the same number of minutes of film.
