directions: type the correct answer in each box. use numerals instead of words. if necessary, use / for the…

directions: type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s).\ntad and janice are installing new wood floors in a house. tad can install 144 square feet of flooring in three hours. janice can install 576 square feet of flooring in six hours.\nhow many square feet of flooring can tad install in eight hours? square feet\nhow many square feet of flooring can janice install in five hours? square feet\nif they each work for 12 hours, how many square feet of flooring can they install? square feet

directions: type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s).\ntad and janice are installing new wood floors in a house. tad can install 144 square feet of flooring in three hours. janice can install 576 square feet of flooring in six hours.\nhow many square feet of flooring can tad install in eight hours? square feet\nhow many square feet of flooring can janice install in five hours? square feet\nif they each work for 12 hours, how many square feet of flooring can they install? square feet

Answer

Explanation:

Step1: Calculate Tad's rate

Tad installs 144 square feet in 3 hours. His rate (r_{Tad}=\frac{144}{3}=48) square - feet per hour.

Step2: Find Tad's work in 8 hours

Using the formula (W = r\times t), for (t = 8) hours and (r = 48) square - feet per hour. (W_{Tad - 8}=48\times8 = 384) square feet.

Step3: Calculate Janice's rate

Janice installs 576 square feet in 6 hours. Her rate (r_{Janice}=\frac{576}{6}=96) square - feet per hour.

Step4: Find Janice's work in 5 hours

Using the formula (W = r\times t), for (t = 5) hours and (r = 96) square - feet per hour. (W_{Janice - 5}=96\times5 = 480) square feet.

Step5: Find their combined work in 12 hours

For Tad, (W_{Tad - 12}=48\times12). For Janice, (W_{Janice - 12}=96\times12). The combined work (W=(48 + 96)\times12). Since (48+96 = 144), then (W=144\times12=1728) square feet.

Answer:

384, 480, 1728