Question

A piece of duct measures 48 inches. When pieces are fitted together, 1 ½ inches is lost connecting each successive length of duct. On the job 7 and ½ pieces of ducting are used. What, in inches is the total length of the finished duct?

A) 355.5 inches

B) 360 inches

C) 367.5 inches

D) 372 inches

Answer 1

C) 367.5 inches.To find the total length of the finished duct, add the lengths of the 7.5 pieces of ducting, accounting for the 1.5 inches lost connecting each length. The correct answer is option

Step-by-step explanation:

The correct answer is option C) 367.5 inches.

To find the total length of the finished duct, we need to add the lengths of the 7.5 pieces of ducting and account for the 1.5 inches lost connecting each length.

Each piece of ducting measures 48 inches. To find the total length of 7.5 pieces, we can multiply:

48 inches/piece × 7.5 pieces = 360 inches

But since 1.5 inches are lost connecting each length, we need to subtract:

360 inches - (1.5 inches × 7) = 360 inches - 10.5 inches = 349.5 inches

Therefore, the total length of the finished duct is 349.5 inches.