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//Do not use strings as thread lock/sync objects!

using System;
using System.Threading;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            //Your code goes here
            Console.WriteLine("Starting worker threads...");
            
            Person firstPerson = new Person("first");
            Person secondPerson = new Person("second");
            Role firstRole = new Role("first");
            
            Thread p1thread = new Thread(new ThreadStart(firstPerson.Operate));
            Thread p2thread = new Thread(new ThreadStart(secondPerson.Operate));
            Thread r1thread = new Thread(new ThreadStart(firstRole.Operate));
            
            p1thread.Start();
            p2thread.Start();
            r1thread.Start();
            
            p1thread.Join();
            p2thread.Join();
            r1thread.Join();
            
            Console.WriteLine("Done.");
        }
    }
    
    public class Person {
        private readonly string personLocker = "lock object";
        private readonly string personId;

public Person(string id) {
            personId = id;
            //personLocker = id;
        }
        
        public void Operate() {
            DateTime start = DateTime.Now;
            
            //use private instance string as sync object for this resource
            lock (personLocker) {
                // ... do stuff that takes 3 seconds ...
                Thread.Sleep(3000);
            }
            
            Console.WriteLine("Person {0} operation took {1} seconds to complete.", personId, (DateTime.Now - start).TotalSeconds);
        }
    }

public class Role {
        private readonly string roleLocker = "lock object";
        private readonly string roleId;

public Role(string id) {
            roleId = id;
            //roleLocker = id;
        }

public void Operate() {
            DateTime start = DateTime.Now;
            
            //use different private string as sync object here
            //but since the string value is the same, will wait 
            //for "personLocker" to be released!
            lock (roleLocker) {
                // ... do stuff that takes 3 seconds ...
                Thread.Sleep(3000);
            }
            
            Console.WriteLine("Role {0} operation took {1} seconds to complete.", roleId, (DateTime.Now - start).TotalSeconds);
        }
    }
}

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Compilation time: 1.04 sec, absolute running time: 9.41 sec, cpu time: 0.08 sec, average memory usage: 34 Mb, average nr of threads: 8