Question

1. george is a fast worker. he can mop 50 ft² in 1 minute. the court is shaped like a rectangle. it is 95 ft long by 50 ft wide. how many minutes will it take george to mop the gym floor?

4,750 minutes
3958.3 minutes
95 minutes

Explanation:

Step1: Calculate the area of the court

The area of a rectangle is \(A = length\times width\). Given \(length = 95\) ft and \(width = 50\) ft, so \(A=95\times50 = 4750\) \(ft^{2}\).

Step2: Calculate the time

George can mop \(50\) \(ft^{2}\) in \(1\) minute. Let \(t\) be the time in minutes. We know that the rate is \(r = 50\) \(ft^{2}/\text{minute}\), and the work \(W=4750\) \(ft^{2}\). Using the formula \(t=\frac{W}{r}\), we substitute \(W = 4750\) and \(r = 50\). So \(t=\frac{4750}{50}=95\) minutes.

Answer:

95 minutes