Question

A rug layer can put down 7/8 square yard of carpeting in 1/20 hour. What is the unit rate in square yards per hour?

Answer 1

Explanation:

7/8 divided by 1/20

= 17.5 hours

Answer 2

17/5 sq yd per hour

Explanation:

7/8 sq yd per 1/20 hr = x sq yd per 1 hr

We can set up equivalent proportions and cross-multiply.

`( (7)/(8) sq yd)/((1)/(20)hr)= (x sq yd)/(1 hr)`

7/8 × 1 = 1/20 × x

7/8 = 1/20 x

Multiply both sides by 20.

x = 7/8 × 20

= 140/8

= 35/2

x = 17.5 sq yd