Question 906197
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.