Question

A painter is paid 11 dollars per hour and can paint 8 m^2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. it takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. you must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. how much money do you save by using the spray gun on a paint job that involves painting 40 m^2.

Answer 1

Painter cost when he use the roller.
40:8=5 hours for painting 40 m²
5+1/2 =5 1/2 where 1/2 is time needed for clean upthe roller
total cost is
(5 1/2)*11=55+11/2=60.5 dollars

Painter cost when he use spray gun
40:20=2 hours for painting 40 m²
2+1=3 time with the time needed for clean up the spray gun
total cost is
3*11+5*3=33+15=48 dollars

60.5-48=12.5 dollars

You save is 12 dollars 50 cents