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?

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