My baby is 3 months old and his got terrible cough n cold . we hav visited the doc and the antibiotics are going .its been a week.how.much time does it take for the cough to vanish completely?

A. Cough and cold can we because of some alrlergic reaction in the body most of the time it is viral in the origin need to give symptomatic treatment first like steam inhalation and some home remedies cough erxpectorant may be required along with anti allergic medications