Ramandeep starts riding from his home in bike to go to his tuition but after traveling 5 km with a speed of 40 km/hr, his bike broke down and he traveled 2 km by walking to a mechanical shop with a speed of 8 km/hr, after getting his bike fixed he traveled the remaining distance with a speed of 3/5 of it's previous speed. Calculate the distance between mechanic shop and his tuition if his average speed was 21.33 km/hr.