215k views
5 votes
is 1100 sq ft of carpet in 2 hours equivalent or not equivalent to 1,925 sq ft of carpet in 3 1/2 hours?​

1 Answer

1 vote

Final answer:

1100 sq ft of carpet in 2 hours is equivalent to 1,925 sq ft of carpet in 3 1/2 hours.

Step-by-step explanation:

To determine if 1100 sq ft of carpet in 2 hours is equivalent to 1,925 sq ft of carpet in 3 1/2 hours, we need to calculate the rate at which carpet is being installed in both scenarios.

In the first scenario, the rate of carpet installation is:

1100 sq ft / 2 hours = 550 sq ft/hour.

In the second scenario, the rate of carpet installation is:

Using the concept of unit rate and cross multiplication, we can calculate the equivalent rate:

1,925 sq ft / 3.5 hours = 550 sq ft / x hours.

Cross multiplying, we get:

1,925 * x = 550 * 3.5.

Simplifying, we find:

x = (550 * 3.5) / 1,925 = 1000 / 1.925 = 519.48 hours.

Therefore, the rates of carpet installation in both scenarios are equivalent.

User PMIW
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories