MathDB
Anh read a book

Source: 2016 AIME I #5

March 4, 2016
2016 AIME IAIME

Problem Statement

Anh read a book. On the first day she read nn pages in tt minutes, where nn and tt are positive integers. On the second day Anh read n+1n + 1 pages in t+1t + 1 minutes. Each day thereafter Anh read one more page than she read on the previous day, and it took her one more minute than on the previous day until she completely read the 374374 page book. It took her a total of 319319 minutes to read the book. Find n+tn + t.