Jameel boards an elevator on the 11th floor and ascends at a speed of 57 floors per minute. Simultaneously, Nasir boards another elevator on the 51st floor and descends at 63 floors per minute. At which floor will they meet if both maintain their speeds?

Explanation

Jameel starts at floor 11 going up at 57 floors/min, and Nasir starts at floor 51 going down at 63 floors/min. Let t be the time in minutes when they meet. Position of Jameel: 11 + 57t; Position of Nasir: 51 - 63t. Setting equal: 11 + 57t = 51 - 63t → 120t = 40 → t = 1/3 min. Plugging back: 11 + 57*(1/3) = 11 + 19 = 30. Therefore, they meet at the 30th floor.