Information on short-lived storms (pluviographic information or continuous rainfall records) is necessary for the planning and design process of hydraulic projects such as urban and road drainage systems, soil erosion control, and flood control planning. However, in most cases, the information is incomplete or not available, and often only information on maximum rainfall in 24 hours is available. This study presents an empirical relationship that relates maximum rainfall in 24 hours with rainfall of shorter duration: from 5 min to 120 min, rainfall is related by a base rainfall of known duration and return period. The relationship obtained has the same form as the relationship proposed in the study by Bell (1969). It relates the duration, return period and a base precipitation (precipitation of 60 min duration and 10 years of return period). Unlike the relationship proposed by Bell, we seek that the base precipitation has a duration equal to the maximum daily precipitation since in the Peruvian territory, there is more information of this type and with very few pluviographic stations or automatic stations that have a record of short-term rainfall.