You are designing an air delivery system to supply air from a receiver operated at 100 psig (690 kPa) through 1600 ft (488 m) of pipe and a manifold to three hand-held rock drills. Each drill requires 100 cfm (2.18 m3/min) of compressed air and is connected to the manifold by 75 ft

(22.8 m) of 1-in (2.5 cm) hose. Manifold pressure loss is rated at 2 psig (14 kPa). Determine the minimum size of pipe required to maintain a pressure of at least 90 psig

(621 kPa) at the drills when all drills are operating simultaneously.

Assume a 5% line leakage.