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

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) (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.

RELATED QUESTIONS
One painter takes 6 hours longer to paint a room than does a second painter. Working... (answered by stanbon)

If it takes 3 painters 24 hours to paint a room how long does it take one painter to... (answered by jrfrunner)

If i takes painter a 7 hours to paint a room and painter a & painter b 5 hours to paint... (answered by Boreal)

A painter has to paint 74 rooms. Each room takes three hours. If he already painted 18... (answered by richwmiller)

Hi, can you please help me solve this word problem? Suppose one painter can paint an... (answered by Theo)

It takes one painter 20 hours longer to paint a house than it does a more experienced... (answered by richwmiller,josmiceli)

It takes Painter A 10 hours to paint a room. It takes Painter B 6 hours to paint the same (answered by solver91311)

It takes one painter 20 hours longer to pain a hoise than it does a more experienced... (answered by josmiceli)

one painter can paint a room in 12 hours and another can paint the same room in 10 hours. (answered by ewatrrr)