QUITO, Ecuador—A rain-weakened hillside collapsed in Ecuador’s capital, sweeping over homes and a sports field and killing at least 24 people, city officials said Tuesday. The Quito Security Department said at least 48 more people were injured, while eight houses collapsed and others were damaged when the hillside gave way late Monday. The authorities also reported 12 missing people. Neighbors joined rescue workers in hunting through the ruins for survivors of the disaster that hit following nearly 24 hours of rainfall. The storm was pounding outside when Imelda Pacheco said she felt her house move as if an earthquake had struck. Suddenly water and rocks began to pour in through doors and windows and she fled before the building was destroyed. “I barely had time to grab the hand of my 4-year-old son and I ran to the stairs, to the terrace. Suddenly the walls in front and to the …