UPDATED: Sept. 29, 2015 10:31 a.m.

WASHINGTON — Washington’s mayor wants to contract with private ambulance companies to transport patients who don’t have time-sensitive injuries or medical problems.

The proposal outlined by Mayor Muriel Bowser to the D.C. Council on Tuesday is meant to improve ambulance response times and ease the burden on the city’s fire department.

The city has 39 ambulances on duty at any given time and is receiving more than 500 911 calls a day. As a result, the city often runs out of ambulances and has to ask neighboring jurisdictions for help.

Bowser, a Democrat, is asking the council to approve an emergency contract with a private firm that would transport patients with injuries like cuts and bruises, twisted ankles or cold symptoms. The mayor has not detailed the costs of the plan.

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