SAN JUAN, Puerto Rico — Bermuda shuttered its schools, businesses and government agencies as Tropical Storm Alex brushed past the British overseas territory on Monday after killing three people in Cuba and deluging parts of Florida.

The first named storm of the Atlantic hurricane season had grown to near hurricane force late Sunday, reaching 70 mph, but weakened Monday as it raced past north of Bermuda.

In Florida it flooded streets and left drivers stranded in some cities over the weekend.

The U.S. National Hurricane Center said Alex maximum sustained winds of 60 mph and further weakening was expected by Tuesday. It was centered about 220 miles northeast of Bermuda by Monday afternoon and was moving to the east-northeast at a brisk 29 mph.

Forecasters said it could drop 1 to 2 inches of rain and generate waves of up to 20 feet. More than 800 customers already were without power, and at least three American Airlines flights were cancelled, authorities said.

Bermuda’s government Twitter account said crews were clearing downed trees from roads.

Miami Beach Mayor Dan Gelber said the storm had tested a system drainage pumps the city recently installed as climate change has increasingly made flooding an issue in the low-lying area.

“We moved the water off pretty quickly, but in some areas, obviously, it was really challenging,” Gelber said.

Alex partially emerged from the remnants of Hurricane Agatha, which made landfall on on Mexico’s southern Pacific Coast last week, killing at least nine people and leaving five missing as it moved over land.

The storm’s appearance was unusually early for the Atlantic hurricane season, which officially began last Tuesday, but it is not unprecedented for Florida.