A contractor, Mr. Parker charged his customer $100 for painting a rectangular ceiling of length 5.4m and width 3m. Another contractor, Mr. Lewis charged his customer $115 for painting a rectangular ceiling of length 5.7m and width 3.2m.The quality of work is the same and both contractors charges are based on the area to be painted.

Question

A contractor, Mr. Parker charged his customer $100 for painting a rectangular ceiling of length 5.4m and width 3m. Another contractor, Mr. Lewis charged his customer $115 for painting a rectangular ceiling of length 5.7m and width 3.2m.The quality of work is the same and both contractors charges are based on the area to be painted.

Part A: in terms of charges, which contractor offers a better deal?
Part B: Mr. Parker finished his paint job in 49 minutes. On average how much time did he take to paint every m^2. Express your answer to the nearest minute.
Part C: How long did Mr. Lewis take to finish his paint job if he paints at the same rate as Mr. Parker? Express your answer to the nearest minute.

Answer 1

PART A:

Mr. Parker: $100/(5.4*3) = $6.17/m^2

Mr. Lewis: $115/(5.7*3.2) = $6.30/m^2

PART B:
Mr. Parker: 49 Min./(5.4*3) = 3 Min/m^2

PART C:
Mr. Lewis: (5.7*3.2)m^2 * 3Min/m^2=55min