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 is
L^2 = 6^2 = 36 inches square
So 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 inches
80 feet = 80 × 12 = 960 inches
40 feet = 40 × 12 = 480 inches
Area 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 hours
Converting to the nearest whole day, it becomes
85.33/24 = 3.55
Approximately 4 days
