Problem:
The students in Mrs. Reed's English class are reading the same -page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in seconds, Bob reads a page in seconds and Chandra reads a page in seconds.
Before Chandra and Bob start reading, Alice says she would like to team read with them. If they divide the book into three sections so that each reads for the same length of time, how many seconds will each have to read?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The least common multiple of and is . Using the LCM, in seconds Alice reads pages, Chandra reads pages and Bob reads pages. Together they read a total of pages in seconds. The total number of seconds each reads is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions