USAAAO — 2019 First Round

Two stationary observers at a distance 100 AU from the Sun observe transits of Mercury across the diameter of the Sun’s disk when Mercury is at perihelion and aphelion respectively. Which of the following is closest to the ratio of the aphelion transit time to the perihelion transit time? You are given that the semimajor axis and eccentricity of Mercury’s orbit are 0.387 AU and 0.21 respectively.