Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches?

A.) 4 hours
B.) 5.5 hours
C.) 58 hours
D.) 5 hours, 13 minutes

Respuesta :

D is your awnser here

The time it will take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches is 5 hours 13 minutes.

Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes.

Rate use to install:

Rate measures the ratio between two quantities of different unit. Therefore, the rate is as follows:

  • 15 / 4.5 = 3.33 yards square per hour

At this rate, it will take the following time to install 11 feet 9 inches by 13 feet 4 inches.

Let covert inches to feet and then to yards.

11 ft 9 inches = 11.75 ft = 3.9166667 yards

13 ft 4 inches = 13.333333 ft = 4.444433333 yards

Let's find the area.

area = 3.9166667 × 4.444433333 = 17.4073640357 yard²

15 yards² = 4.5 hours

17.4073640357 yards² = ?

cross multiply

time(hours) = 17.4073640357 × 4.5 / 15

time(hours) = 78.3331381608 / 15

time(hours) = 5.22220921072 hours

time = 5 hours 13 minutes

learn more on rate here:https://brainly.com/question/13504497?referrer=searchResults