SOLUTION: It takes a painter 15 hours to prepare and paint one room. How many rooms could a painter paint in 52 hours?

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Question 906197: It takes a painter 15 hours to prepare and paint one room. How many rooms could a painter paint in 52 hours?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
rate * time = quantity.

quantity = 1 room prepared and painted.

time = 15 hours.

solve for rate to get:

r*15 = 1

r = 1/15

the rate of preparing and painting 1 room is 1/15 of the room in one hour.

therefore in 52 hours, the painter can prepare and paint 52 * 1/15 = 3.47 rooms rounded to 2 decimal places.

you can also look at this as a ratio.

15/1 = 52/x

15 hours is to one painted room as 52 hours is to x painted rooms.

cross multiply to get 15x = 52

divide both sides of the equation by 15 to get x = 3.47 rounded to 2 decimal places.