Calculate Total Traveled Distance iOS Swift

update: Xcode 8.3.2 • Swift 3.1

The problem there is because you are always getting the same location over and over again. Try like this:

import UIKit
import MapKit

class ViewController: UIViewController,  CLLocationManagerDelegate {
    @IBOutlet weak var mapView: MKMapView!
    let locationManager = CLLocationManager()
    var startLocation: CLLocation!
    var lastLocation: CLLocation!
    var startDate: Date!
    var traveledDistance: Double = 0
    override func viewDidLoad() {
        super.viewDidLoad()
        if CLLocationManager.locationServicesEnabled() {
            locationManager.delegate = self
            locationManager.desiredAccuracy = kCLLocationAccuracyBest
            locationManager.requestWhenInUseAuthorization()
            locationManager.startUpdatingLocation()
            locationManager.startMonitoringSignificantLocationChanges()
            locationManager.distanceFilter = 10
            mapView.showsUserLocation = true
            mapView.userTrackingMode = .follow
        }
    }
    func locationManager(_ manager: CLLocationManager, didUpdateLocations locations: [CLLocation]) {
        if startDate == nil {
            startDate = Date()
        } else {
            print("elapsedTime:", String(format: "%.0fs", Date().timeIntervalSince(startDate)))
        }
        if startLocation == nil {
            startLocation = locations.first
        } else if let location = locations.last {
            traveledDistance += lastLocation.distance(from: location)
            print("Traveled Distance:",  traveledDistance)
            print("Straight Distance:", startLocation.distance(from: locations.last!))
        }
        lastLocation = locations.last
    }
    func locationManager(_ manager: CLLocationManager, didFailWithError error: Error) {
        if (error as? CLError)?.code == .denied {
            manager.stopUpdatingLocation()
            manager.stopMonitoringSignificantLocationChanges()
        }
    }
}

Sample Project