MathDB
2001 Stanford Math Tournament Team #8

Source:

May 24, 2014
Stanfordcollegeprobability

Problem Statement

Janet and Donald agree to meet for lunch between 11:30 and 12:30. They each arrive at a random time in that interval. If Janet has to wait more than 15 minutes for Donald, she gets bored and leaves. Donald is busier so will only wait 5 minutes for Janet. What is the probability that the two will eat together? Express your answer as a fraction.