NEW DELHI—The Indian navy is working to rescue crew members from a sunken barge and a second cargo vessel that was adrift Tuesday off the coast of Mumbai after a deadly cyclone struck the western coast. The navy said it has rescued 177 of the 400 people on the two barges in the Arabia Sea. Three warships, maritime patrol aircraft and helicopters joined the rescue operations and were scouring the sea, the navy said. Both barges were working for Oil and Natural Gas Corp., the largest crude oil and natural gas company in India. The company said the barges were carrying personnel deployed for offshore drilling and their anchors gave away during the storm. Cyclone Tauktae, the most powerful storm to hit the region in more than two decades, packed sustained winds of up to 210 kilometers (130 miles) per hour when it came ashore in Gujarat state late Monday. …