Tiles (6" by 6") can be installed at the rate of 50 per worker hour. The floor of a large lobby area (80’ by 40’) is to be covered with these tiles. If three workers are assigned to this task, what duration (to the nearest whole day) should be assigned to this activity?

Answer:Step-by-step explanation:Tiles (6" by 6") can be installed at the rate of 50 per worker hour. Since the tile is a square, its area isL^2 = 6^2 = 36 inches squareSo in an hour, a worker installs 50 tiles whose area is 36 inches square. Total square meters installed per hour will be 50 × 36 = 1800 inches square per hour.If three workers are assigned to this task, their work rate will be 1800 × 3 = 5400 inches square per hour.The floor of a large lobby area (80’ by 40’) is to be covered with these tiles. We would convert from feet to inches.1 foot = 12 inches80 feet = 80 × 12 = 960 inches40 feet = 40 × 12 = 480 inchesArea of the lobby = 90 × 480 = 460800 inches square.If the 3 workers install 5400 inches square in 1 hour,Then then they will install 460800 inches square in 460800/5400 = 85.33 hoursConverting to the nearest whole day, it becomes 85.33/24 = 3.55Approximately 4 days